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224 resources with the concept similar figures

Videos (Over 2 Million Educational Videos Available)
Prepositional Phrases for Kids | English Grammar Video Video
11:22
Prepositional Phrases for Kids | English...
Defining Gravity Video
3:11
Defining Gravity
How to paint a watercolor and ink flower bouquet | Watercolor Flower Painting Video
6:54
How to paint a watercolor and ink flower...
Other Resource Types (224)
EngageNY

EngageNY Geometry Module 3: Extending to Three Dimensions

For Teachers 9th - 12th Standards
Building on the understanding of congruence studied in Module 1 and on similarity studied in Module 2, the 14 lessons  in the Module 3 collection focus on developing a bridge  from geometric measurement in two dimensions to understanding...
Lesson Planet

How Much Proof Do We Need?

For Teachers 9th - 12th Standards
Are two angles enough? Given two triangles, the class determines through the definition of similarity and transformations whether the two triangles are similar. Provided with pairs of triangles and measurements, small groups find out...
Lesson Planet

Discovering Dilations

For Teachers 9th - 12th Standards
Scale up the dilation factor. Using a dynamic geometry software program, classmates discover the relationship between a pre-image and its image after performing a dilation. Individuals create their own dilations and fellow class members...
Lesson Planet

Geometry Definitions

For Students 7th - 9th Standards
Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet. 
9:34
Lesson Planet

Similar Triangles

For Students 9th - 10th
Although a rather complicated topic, this video manages to clearly explain the concept of solving problems involving similar triangles. It employs problem solving to determine whether two figures are similar triangles. In addition, it...
9:55
Lesson Planet

Similar Triangles (Part 2)

For Students 9th - 10th
Building on concepts in the first part of the series on similar triangles, installment number two explores how to find the values for given angles in a triangle. These problems are solved by using algebra and ratios. A step-by-step...
1 In 1 Collection
Lesson Planet

Verifying Dilation

For Teachers 7th - 9th Standards
Working in pairs, geometry learners will construct a dilation and consider the properties associated with the similar figures that are created to verify the properties of dilation. This activity can be done using dot or graph paper and...
Lesson Planet

Identifying Similar Triangles

For Teachers 7th - 9th Standards
Math whizzes work with angle sums and exterior angles to figure out the measure of other angles. This particular publication provides comprehensive support in the form of an anticipatory activity, questions designed to prompt discussion,...
Lesson Planet

Choosing the Best Cylinders

For Teachers 9th - 12th Standards
Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...
Lesson Planet

CK-12 Middle School Math Concepts - Grade 6

For Students 6th Standards
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Lesson Planet

Green Acres is the Place to Be!

For Teachers 9th - 12th Standards
Nurture a love of math and farming at the same time. Pupils apply geometry concepts, such as surface area and volume of three-dimensional shapes and similarity ratios, to farming contexts. They consider the dimensions of bales of hay,...
Lesson Planet

How Tall is the Tree?

For Teachers 9th - 12th Standards
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...
Lesson Planet

2 and 3 Dimensional Shapes

For Students 9th - 12th Standards
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
Lesson Planet

Next Top Model

For Students 9th - 12th Standards
Create a world of similar models. The geometry and measurement unit uses real-world scenarios to create models of familiar buildings and rooms. Scholars work with blueprints and scale models to compare areas and volumes between the...
Lesson Planet

Catch Me If You Can!

For Teachers 9th - 12th Standards
Crime doesn't pay, but everyone can learn from it. Learners consider different situations involving mischief at a school, such as stink bombs and rockets, and analyze them using mathematics. They must apply trigonometry, quadratic...
Lesson Planet

Grades 7-8 Solving Equations

For Teachers 7th - 8th Standards
Create a similar blueprint. The differentiated lesson plan has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final projects to...
Lesson Planet

Proportional Representation

For Students 9th - 12th Standards
Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...
Lesson Planet

Similar Shapes

For Students 8th - 11th Standards
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
1 In 1 Collection
Lesson Planet

Smarter Balanced Sample Items: 8th Grade Math – Target G

For Teachers 8th Standards
Transform the thinking of transformations with six sample items that illustrate the first four standards in the eighth grade geometry domain. Items use the coordinate plane to transform figures and analyze the relationship of the figures...
2:22
Lesson Planet

Human Tree: Dilations

For Students 6th - 8th Standards
Look at dilations exponentially. Using a fractal from a museum exhibit, the installment from the Math at the Core: Ratios series introduces the term dilation. The presenter points out that dilations can make images either smaller or...
9:49
Lesson Planet

Similar Shape Volumes

For Students 6th - 12th Standards
More power to you if you can calculate volumes. Viewers of an informative YouTube video learn about the volumes of similar three-dimensional figures. They see how figures with sides that have a scale factor of n have volumes with a scale...
8:58
Lesson Planet

Similar Shapes Areas

For Students 6th - 12th Standards
Just how similar are the areas of similar figures? An educational YouTube video describes how to determine the areas of similar figures. Given the area of one figure and the measurements of corresponding sides of each figure, viewers see...
11:10
Lesson Planet

Similar Shapes Sides

For Students 6th - 12th Standards
Scale up a lesson on similarity. Young mathematicians watch a video that investigates the sides of similar figures. They see how to calculate missing sides from the given measures using scale factors.
1:48
Lesson Planet

Congruent and Similar Shapes

For Students 6th - 12th Standards
By definition, a congruent shape remains similar, but similar shapes may or may not be congruent. Scholars watch a video explaining the sometimes-confusing concept. Practice problems ensure pupils demonstrate their understanding to...
4:01
Lesson Planet

Similar Solids: Lesson

For Students 6th - 11th
Blow up a solid by a scale factor. A section of a larger playlist on basic geometry introduces the ratios of the surface areas and volumes of similar solids. Using the ratios, the video works several examples involving similar figures.
3:26
Lesson Planet

Area and Perimeter of Similar Polygons: Lesson

For Students 7th - 11th
Find the square of the scale factor. A component of a large playlist on geometry discusses the ratios of the perimeters and areas of two similar polygons. The resource shows examples in finding the ratios that lead to a pattern.
3:15
Lesson Planet

Similar Polygons and Scale Factors: Lesson

For Students 7th - 11th Standards
Develop an understanding of the scale of similarity. Starting with the concept of congruency, the resource introduces the idea of similarity between two figures. As part of a larger playlist on geometry, it defines similarity and uses...
4:36
Lesson Planet

Self Similarity: Lesson

For Students 8th - 11th
Zoom in to reveal more of the same. The resource introduces the concept of self similarity. Using a simple example, the video—part of a larger playlist covering geometry concepts—illustrates the meaning of a self similarity figure.
4:14
Lesson Planet

Dilation in the Coordinate Plane: Lesson

For Students 8th - 11th Standards
Multiply coordinates to either shrink or enlarge a figure. An informative segment of a geometry playlist introduces dilation on the coordinate plane. The dilations in the resource use the origin as the center of dilation, which makes...
Lesson Planet

How Does Scale Factor Affect the Areas and Perimeters of Similar Figures

For Teachers 9th - 12th Standards
Are all the measurements scalable? Pupils work in groups or alone to determine whether figures are similar and find any missing side lengths. Then, they calculate the perimeters and areas of the figures. Finally, using the measurements,...
Lesson Planet

How Do You Measure the Immeasurable?

For Teachers 9th - 12th Standards
How do you measure a distance where the measurement tool will not reach? Pupils use the concept of similar triangles to perform indirect measurements. The lesson asks teachers to demonstrate the method and lead the class through a set of...
Lesson Planet

Dilation Transformation

For Teachers 7th - 12th Standards
Just how similar are dilations to isometries? The instructional activity builds upon pupils' knowledge of transformations and introduces the concept of dilations to obtain similar figures. Learners find out how to dilate a figure without...
Lesson Planet

Circle to Circle

For Students 9th - 12th Standards
What does every circle have in common? Learners explore this question as they prove all circles are similar. A series of activities leads them to this conclusion by identifying transformations.
Lesson Planet

Are All Circles Similar?

For Teachers 9th - 11th Standards
Dilated pupils, the way to prove circles are similar. Using the knowledge of dilations of polygons, class members learn how to dilate a circle to show that it is similar to any other circle. The teacher guides the class through a proof...
Lesson Planet

Showing Similarity

For Students 9th - 12th Standards
Show similarity with a similar approach to congruence. The assessment provides learners with two figures on a coordinate plane. Pupils use the coordinates of the figures and similarity transformations to describe how to show the two...
Lesson Planet

Similar Circles

For Students 9th - 12th Standards
Develop a proof of the general case. Pupils develop a proof using transformations to prove the general case that any two circles are similar. The assessment provides minimum information about the two circles.
Lesson Planet

Area and Circumference 2

For Students 9th - 12th Standards
Use scale factors to find areas of circles. Pupils delve deeper into the informal argument for the formula of the area of a circle. The scholars show the relationships of areas of similar polygons also holds true for circles.
Lesson Planet

Dilation of a Line: Factor of One Half

For Students 9th - 12th Standards
What happens to a dilation when the scale factor is less than one? Learners show and then tell this in a short worksheet. They create a dilation from an off-line point using a scale factor of 0.5. The class then explains how the images...
Lesson Planet

Dilation of a Line: Center on the Line

For Students 9th - 12th Standards
Assessing progress is easy using a quick quiz focused on dilations with the center on the line! Geometry geniuses graph the images of points resulting from a dilation with a center point. Then, they must describe the relationship between...
Lesson Planet

Dilation of a Line Segment

For Students 9th - 12th Standards
It's a dilation sensation! Have your young mathematicians show what they know using a short, simple formative check about the dilation of a line segment. Geometry scholars try their hand at constructing a dilation, then must describe how...
Lesson Planet

Similar Figures

For Teachers 7th
How similar do figures have to be to be similar figures? Individuals learn to identify similar figures by verifying that angles are congruent and sides are proportional. Additionally, they match the corresponding parts of similar figures.
Lesson Planet

Similar Triangles

For Teachers 9th - 11th Standards
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Lesson Planet

Enlargements

For Students 8th - 11th Standards
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
1 In 1 Collection
EngageNY

Similarity

For Teachers 8th Standards
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists between two...
1 In 1 Collection
EngageNY

End-of-Module Assessment Task - Grade 8 Mathematics (Module 3)

For Students 8th Standards
Everything the class knows about similarity in one small package. The last portion of a 16-part series is a three-question assessment. In it, pupils demonstrate their application of similar figures and their associated transformations. 
Lesson Planet

Square and Circle

For Students 9th - 12th Standards
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to create...
1 In 1 Collection
EngageNY

Basic Properties of Similarity

For Teachers 8th Standards
Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive. It...
1 In 1 Collection
EngageNY

What Lies Behind “Same Shape”?

For Teachers 8th Standards
Develop a more precise definition of similar. The lesson begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to arrive at a mathematical...
Lesson Planet

Rhombuses

For Teachers 9th - 12th Standards
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Lesson Planet

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Lesson Planet

Photographs

For Teachers 6th - 7th Standards
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Lesson Planet

Congruent and Similar Polygons

For Teachers 9th - 12th
What's similar about congruent and similar polygons? Young mathematicians first measure the side lengths and angles of given figures. They use these measurements to determine relationships between side lengths and angles of congruent and...
Lesson Planet

Ratios and Proportions with Congruent and Similar Polygons

For Students 8th - 11th Standards
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Lesson Planet

Study Jams! Lines of Symmetry

For Students 3rd - 5th Standards
Line up this lesson when introducing symmetry to your young mathematicians. Watch how two figures are introduced to different ways of folding and identifying whether or not they are actually symmetrical. Finish the lesson with a multiple...
Lesson Planet

Constructing Dilations

For Students 8th Standards
Pupils multiply the vertical and horizontal distances from the center of dilation by the scale factor. The independent practice prompts the class to analyze the relationship between the image and pre-image. The lesson is part three in a...
Lesson Planet

Review Unit 2: Congruence and Similarity

For Students 8th Standards
Review for the test with a comprehensive list of terms and concepts for the unit on congruence and similarity. It divides divides the sections in the order of the lessons presented during the unit. 
Lesson Planet

Identifying Series and Determining Congruence or Similarity

For Students 8th Standards
Learners consider a set of questions to determine a series of transformations that will move one figure to another. Once the series is determined, the pupil then determines whether the pre-image and image are either congruent or similar. 
Lesson Planet

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal. 
1 In 1 Collection
Lesson Planet

Unit 7 Math Vocabulary Cards (Grade 5)

For Students 5th Standards
Fifty-two flash cards make up a set that reinforces math vocabulary. The set offers word cards printed in a bold font and definition cards showcasing an example with labels. Terms include circle graph, outcome, tree diagram and more!   
1 In 1 Collection
EngageNY

General Pyramids and Cones and Their Cross-Sections

For Teachers 9th - 10th Standards
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
Lesson Planet

Study Jams! Congruent Figures

For Students 4th - 7th Standards
There is more to congruency than just looking similar. Learn the difference and calculate the matching angles and sides to prove the congruence between figures. Lesson has step-by-step slides and follows with an assessment. 
Lesson Planet

Study Jams! Similar Figures

For Students 5th - 8th Standards
Discover how triangles are congruent based on their sides, angles, and proportionality. Learners explore the ways to determine similarity at their own pace, and then they practice afterwards with an assessment. 
Lesson Planet

Anticipation Guide: Similar and Congruent

For Students 6th - 8th Standards
Find out what your mathematicians know about similar and congruent figures with this anticipatory guide that includes five agree or disagree with statements.    
4:12
Lesson Planet

How Do You Find a Scale Factor in Similar Figures?

For Teachers 6th - 10th
Three angles of one triangle are equal to the corresponding angles in another triangle. Use a ratio of corresponding sides to find the scale factor. Actually, there are two scale factor values. The instructor will explain how to get both...
4:22
Lesson Planet

How Do You Solve a Problem Using Indirect Measurement with Shadows?

For Teachers 6th - 10th
Using indirect measurement, this video shows viewers how to find the height of a flagpole. The lecturer employs drawings as well as proportions to solve this problem, explaining each step. A useful resource to aid struggling learners and...
Lesson Planet

Similar Shapes

For Students K - 1st Standards
In geometry, similar and congruent shapes are often confused. Shapes that are similar are the same shape, but a different size. This activity gives young learners some practice in identifying similar shapes. There are five polygons...
Lesson Planet

Transformations

For Students 10th
In this transformations worksheet, 10th graders solve and complete 27 various types of problems that include similar figures and justifying answers. First, they dilate the shape shown using a zoom factor from the origin. Then, students...
4:57
Lesson Planet

How Do You Solve a Problem Using Indirect Measurement with Shadows?

For Teachers 6th - 12th
Using indirect measurement, this video shows viewers how to find the height of a flagpole. The lecturer employs drawings as well as proportions to solve this problem, explaining each step. A useful resource to aid struggling learners and...
4:48
Lesson Planet

How Do You Find a Scale Factor in Similar Figures?

For Teachers 6th - 12th
Three angles of one triangle are equal to the corresponding angles in another triangle. Use a ratio of corresponding sides to find the scale factor. Actually, there are two scale factor values. The instructor will explain how to get both...
7:22
Lesson Planet

What are Similar Figures?

For Teachers 6th - 8th
Similar figures have the same shape, the same corresponding angles, but different lengths of their corresponding sides. The teacher explains just what all that means. She demonstrates how to compare the two shapes to prove they are similar.
Lesson Planet

Congruent and Similar Figures - Homework 15.2

For Students 5th - 8th
Use this mathematical figures worksheet to have learners decide if four sets of figures are congruent, similar or neither. They study two figures in order to solve six measurement problems, and answer one problem solving word problem.
Lesson Planet

Dihedral Figures

For Teachers 6th - 12th
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Lesson Planet

Visual Analogies

For Students 4th - 8th
Here are four questions which require learners to examine four pairs of visual analogies and then choose a figure that completes a missing part of an analogy that is the same as the one shown. They then get to create their own visual...
Lesson Planet

Dilations and Similarity

For Students 8th - 10th Standards
In this dilations and similarity worksheet, pupils solve 10 different problems that include various dilations. First, they determine the scale factor of dilations found in the illustrated graphs. Then, everyone determines the coordinates...
Lesson Planet

Similarity and Dilations - Discover Properties of Similar Figures

For Teachers 9th - 12th Standards
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Lesson Planet

Mathematics Within: Slope and Triangles

For Teachers 8th - 10th Standards
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Lesson Planet

Investigating Properties of Lines in the Plane

For Teachers 8th - 9th
Practice the properties of lines in the coordinate plane. Young mathematicians use Cabri on their graphing calculator to determine the slope ratios. They use the change in y-coordinates/change in x-coordinates. Additionally, they find...
Lesson Planet

Similar Triangles and Trapezoids, and Circles

For Students 9th - 12th
High schoolers answer two problems involving area of shaded regions. Students then answers six questions involving perimeter, area, and circumferences. The remaining two questions involve ratios of similar figures.
Lesson Planet

Congruent and Similar Figures - EL 15.2

For Students 4th - 8th
English language learners work through geometric vocabulary. They answer 6 true or false questions where they determine whether 2 drawings or figures, line segments, or angles, correspond to one another.
Lesson Planet

Ballooning Inside the Box

For Teachers 8th - 10th
Students use similar triangles to solve a real-world problem.  In this geometry lesson plan, students explore properties of ratios and proportion as used in similar triangles and use proportions to determine the indirect height of an...
Lesson Planet

Exploring Triangle Proportions

For Teachers 7th - 9th
Students identify similar triangles.  In this exploring triangle proportions lesson, students examine similar triangles.  They determine the length of missing sides and angle measurements.  Students use the Cabri Junior to draw and...
Lesson Planet

Lines to Design

For Students 4th - 6th
In this geometry worksheet, upper graders use pattern blocks as a basis for identifying lines, angles, and shapes. Then they compare and contrast properties of various two-dimensional shapes. Pupils also create a block quilt from paper...
Lesson Planet

Getting Started with Geometry - Scale Factor

For Teachers 9th - 12th
Students explore the concept of scale factors.  In this scale factors lesson, students dilate polygons and determine the ratio of the perimeters and areas of an image and pre-image.  Students use Ti-Nspires to graph triangles, measure...
Lesson Planet

Name that Figure

For Students 3rd
Name that figure, no problem. Learners complete a table by examining the figures that are named. They name a figure that is congruent or similar to each of the 9 named figures. A critical thinking question gives this worksheet extra punch.
Lesson Planet

Congruent and Similar Figures - Problem Solving 15.2 Worksheet

For Students 4th - 6th
A theoretical NASA project is the foundation of this worksheet, in which learners will word to determine congruent and similar figures. They solve 4 word problems where they measure, draw and identify congruent and similar figures from...
Lesson Planet

Comparing 3-D Shapes

For Students 1st - 3rd
How is a sphere like a prism? Learners compare and contrast 3-D shapes, first drawing each in the boxes provided. If this is too advanced, supply pre-cut images of the shapes for students to choose from and glue onto the activity. A...
Lesson Planet

Periemter Patterns

For Teachers 8th - 10th
Students investigate patterns.  In this Algebra I/Geometry lesson, students explore patterns generated by constructing a sequence of similar shapes and finding the perimeter.  Students analyze data, draw conclusions and make predictions...
Lesson Planet

Similar Figures

For Students 8th - 11th
Emerging math scholars evaluate pairs of parallellograms, triangles, rectangles, and trapezoids to determent wheter or not each is similar. This is an ideal homework assignment for reinforcing this skill
Lesson Planet

Similarity: Instructional

For Students 7th - 8th
In this similarity worksheet, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then, students...
Lesson Planet

Measuring Up

For Teachers 6th - 8th
Proportional reasoning, ratio, and indirect measurement come to life in a series of seven lessons. Learners will convert measurements into customary and metric units. They also use real-world examples to solve problems involving scale as...
Lesson Planet

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
5:44
Lesson Planet

How Do You Find Missing Measurements of Similar Figures Using a Scale Factor?

For Teachers 6th - 8th
Similar figures have corresponding sides and corresponding angles. With this in mind, missing values can be found by using a scale factor. Not sure how to do that? Watch this video as the instructor illustrates how to set up the known...
6:22
Lesson Planet

How Do You Find Missing Measurements of Similar Figures Using a Proportion?

For Teachers 6th - 8th
Two similar triangles have the same angles, but their legs have different lengths. This means their angles are congruent, and thusly, their corresponding sides are congruent. So there is a missing measurement that needs to be found. Set...
1:25
Lesson Planet

Proportions and Similar Figures

For Teachers 5th - 8th
Duane demonstrates how to find a missing length in figures that are similar. In this example he uses two similar triangles.
Lesson Planet

Exploring Similarity Using Scale Drawings

For Teachers 10th
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions.   
Lesson Planet

The Attack of the Manhole Monsters

For Teachers 9th - 12th
Students explore the concept of similarity. They examine such topics as ratio of corresponding sides, internal ratios and scaling factors. After watching a video, student groups perform experiments outside the school building.
Lesson Planet

Math 7: 35-Week Review

For Students 6th - 8th
Budding mathematicians solve 20 short answer and multiple choice problems. They express fractions as percents, write and solve equations, graph inequalities, solve proportions, identify irrational numbers, etc.
Lesson Planet

Folding Circles

For Teachers 7th - 12th Standards
Students investigate properties of circles. In this geometry lesson, students differentiate between similarity and congruence as they observe polygons. They investigate properties of two and three dimensional shape.
Lesson Planet

Finding Volume of Similar Figures

For Teachers 5th - 8th
Upper elementary and middle schoolers examine the Volumes of Similar Figures. They investigate the relationship between corresponding sides and evaluate the volume of similar figures. Pupils record their findings on various activity...
Lesson Planet

Unit 5: Worksheet 3 - Similar Triangles

For Students 8th - 9th
In this similar triangles worksheet, students use proportions to solve for the missing sides of similar triangles. This two-page worksheet contains 16 multi-step problems.
Lesson Planet

Similar Figures

For Students 6th - 8th
Triangles provide a terrific opportunity to explore proportionality! In this similar figures worksheet, math minds read a brief explanation pertaining to ratios and proportions within triangles. Then they are turned loose to try solving...
Lesson Planet

Zome System

For Teachers 4th - 6th
Get hundreds of interactive activity plans using the Zome Modeling System. Among dozens of lessons, a first exposure to similar triangles can be very visual for the learner. Here, young geometers explore the number of different shapes...
Lesson Planet

Fractals Teachers' Notes

For Teachers 5th - 8th
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Lesson Planet

Symmetry and Geometric Shapes on Campus

For Teachers 6th - 8th
Build on your learners' previous knowledge of geometric shapes and symmetrical figures. Then set them out to take photos of geometric shapes on campus. They assess whether the photos contain symmetry or not. 
Lesson Planet

Congruent / Similar Shape Cards

For Students 2nd - 3rd
Cut apart 16 cards with 8 congruent pairs of geometric shapes, then have your class match the cards which show congruent shapes. There are no directions or information on the page so use your imagination to create a fun activity. Tip:...
Lesson Planet

Shape Up Exercise

For Teachers 6th - 8th
Master the concept of congruency and similarity by examining various geometric shapes. Your math geniuses will draw the shapes on graph paper to demonstrate these concepts. Then use MS Word to create grids to show congruency and...
Lesson Planet

Similar Situations

For Teachers 3rd - 6th
Students explore intersecting lines. In this intersecting lines lesson, students investigate shapes consisting of parallel, perpendicular, and similar lines. Students investigate these lines in shapes around them.
Lesson Planet

Similar Triangles - Grade 7

For Teachers 7th - 8th
Students will use proportional reasoning to express relationships among corresponding parts of similar figures.  For this geometry lesson, students will work in pairs and small groups to explore pairs of triangles.  The goal of the...
Lesson Planet

Toothpick Patterns

For Students 6th - 7th
In this patterning instructional activity, students identify and complete 2 different problems that include determining the number of toothpicks needed to create a particular figure. First, they use words, symbols or diagrams to solve...
Lesson Planet

Toothpick Patterns

For Students 6th - 7th
For this patterning worksheet, students identify and complete 6 different problems that include patterning toothpicks. First, they determine the number of toothpicks needed to create a figure in a sequence using the given information....
Lesson Planet

Countdown Challenge: Similarity

For Students 7th - 8th
In this similarity worksheet, students use similar rectangles to find the length of a diagonal. They use symbols and write paragraphs to explain the problem. This one-page worksheet contains one similar problem with 13 related questions.
Lesson Planet

Countdown Challenge: Similarity

For Students 7th - 8th
In this similarity activity, students observe similar rectangles and determine the length of the diagonal. They use words, symbols and diagrams to solve the problem and explain the results. This one-page activity contains one multi-step...
Lesson Planet

Geometric Applications

For Teachers 8th - 9th
In this geometry worksheet, students solve 5 word problems. Each of the problems involves finding one side of a right triangle. Story problems relate the Pythagorean Theorem to building ramps, shadows, and the length of a banner.
Lesson Planet

Using Similar Polygons

For Students 10th
In this geometry worksheet, students use the properties of similar polygons to find the indicated missing length or the scale factor. The two page worksheet contains twenty-two questions. Answers are included.
Lesson Planet

Kuta Software - Infinite Geometry: Similar Triangles

For Students 9th - 12th
In this similar triangles worksheet, high schoolers solve 20 short answer problems. Students determine if two given triangles are similar.  High schoolers determine the type of similarity given two triangles. Students are given a sketch...
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Glencoe - Proportions and Similar Triangles

For Students 9th - 12th
In this proportions and similar triangles learning exercise, students solve 14 multiple choice problems. Students find unknown sides of similar triangles using proportions. Students multiply means and extremes to solve proportions.
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Growing Generations of Similar Figures

For Teachers 5th - 9th
Students explore geometry. In this shape dimensions lesson, students discover what happens when a shape is made larger and if it is similar to the previous shape (scale factor). They work as a class and independently to explore the...
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Growing Generations of Similar Figures

For Students 7th
In this expanding similar figures worksheet, 7th graders use pattern blocks to build similar figures. They record the number of pattern blocks it takes to make the next similar figure using the label "units of area." They explain their...
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Similar Triangles

For Teachers 9th
Ninth graders investigate the properties of similar triangles. In this similar triangle activity, 9th graders use an extension to the story of Aladdin. Students collaborate and problem-solve using the sun and shadows to determine the...
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Using Proportions

For Students 8th - 12th
In this similarities activity, students set up ratios and solve proportions using algebra. All of the equations turn out to be linear with no quadratics to solve. There are 20 questions.  
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Similar Figures

For Teachers 9th - 12th Standards
Your class will use a TI calculator to drag vertices of rectangles and triangles to observe what happens to ratios of pairs of sides within each figure. They will apply the definition of similarity to identify similar shapes. The...
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Similarity in Stained Glass Windows

For Teachers 9th - 11th
Students analyze stained glass windows for similarity and ratio patterns. In this geometry lesson, students solve problems using similarity property theorems.
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Similar Triangles

For Teachers 9th - 11th
Students investigate the difference between similar and congruence. In this geometry lesson, students examine triangles and polygons and define what makes one congruent and what makes one similar, but not congruent.
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Similarity

For Teachers 10th - 12th
Students apply the different theorems of a triangle as they define similarity of shapes. In this geometry lesson, students solve problems involving right triangles. They compare the triangles using ration and proportions as they relate...
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A Geometry Worksheet - Similar Triangles

For Students 9th - 12th Standards
In this similar triangles learning exercise, learners find the scale factor of 6 sets of similar triangles. Students find the scale factor of two similar triangles given a sketch with measurements. Learners use proportions to find a...
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Chapter 8 Extra Problems Worksheet: Similar Triangles

For Students 9th - 12th
In this similar triangles worksheet, high schoolers solve 6 similar triangles. Students use proportions to solve similar triangles and similar rectangles.
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Similar Figures

For Students 10th
In this geometry learning exercise students explore similar polygons and determine measure of missing sides and angles. Students use indirect measurement with similar triangles and determine the area and volume of similar figures. The...
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Lesson 3-5: Proportions and Similar Figures

For Students 9th - 12th
In this similar figures worksheet, students use proportions to solve 6 short answer and multiple choice questions.  Students use proportions to answer questions about map scales and height of trees given shadow lengths.
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Proportions 1

For Students 9th - 11th
In this proportion worksheet, students find the missing side of 4 shapes that are similar to their mate. Shapes include triangles and quadrilaterals,. In the second part of the worksheet, students use the scale factor to find missing...
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Indirect Measurement with Similar Triangles

For Teachers 9th - 12th
Students use similar triangles to find missing heights.  In this using similar triangles to find missing heights instructional activity, students use proportions to find the heights of missing side lengths.  Students find the height of...
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"Similari-Tree"

For Teachers 8th
Eighth graders investigate direct and indirect measurement.  In this eighth grade geometry and measurement lesson, 8th graders investigate a variety of methods for measuring the height of a tree.  Students investigate and use the...
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SAT Problem Solving Practice Test 02

For Students 11th - 12th
In this problem solving learning exercise, learners solve a variety of problems.  Problems include topics such as rate, time, similar figures, volume, and functions.  This one-page learning exercise contains ten multiple-choice...
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Similar Triangles and Proportions

For Teachers 9th - 12th Standards
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
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Applications of Similar Figures

For Teachers 9th - 12th
Students explore the concept of similar figures.  In this similar figures lesson, students use their Ti-Nspire to determine if two figures are similar.  Students use angle measures, ratios, and side lengths to determine if two figures...
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Inscribed Angles Theorem

For Teachers 9th - 12th
Students explore the concept of central and inscribed angles.  In this central and inscribed angles theorem instructional activity, students use Cabri Jr. to draw circles and construct central and insribed angles.  Students measure...
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Similarity

For Teachers 8th
Eighth graders understand that proportional enlargement of shapes doesn't change the angles of those shapes. In this similarity lesson, 8th graders complete exercises to create enlargements of shapes and understand similar shapes.
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Finding Area of Similar Figures

For Teachers 7th - 8th
Students explore the concept of finding area of similar figures. For this finding area of similar figures lesson, students use pattern blocks to construct similar figures. Students trace their construction and find the area. Students...
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Similarity

For Students 9th
In this similarity learning exercise, 9th graders solve and complete 6 different types of problems. First, they complete the statement in the box shown. Then, students determine whether they agree or disagree with the statement and given...
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Angular Size and Similar Triangles

For Students 8th - 10th
In this angular size and similar triangles worksheet, students use the properties of similar triangles and the ratios of sides to solve for unknowns in given diagrams.
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Measurement of Objects Using Similar Triangles in The Plane

For Teachers 9th - 11th
Young scholars use similar triangles and a sight tool to find the height and distance between large objects. In this similar triangles lesson plan, students use a constructed sight tool to measure the distance and height of an object...
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Similar Figures: Circles

For Students Pre-K - 1st
In this observing sizes of circles learning exercise, students color code the small circles and the larger circles and count the total number of each size. Students color and write seven answers.
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Similarity

For Students 10th
In this similarity worksheet, 10th graders solve and complete 14 different types of problems. First, they find the length of each segment given two lines parallel. Then, students find the measure of each segment of a parallelogram...
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Similarity

For Students 10th
In this similarity learning exercise, 10th graders solve and complete 14 different types of problems. First, they refer to each drawn figure given that the lines are parallel. Then, students find the length of each segment listed. In...
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Proportional Parts and Triangles

For Students 10th
In this proportional parts and triangles worksheet, 10th graders solve and complete 22 different problems related to proportions and similar figures. First, they complete each given proportion using the figure on the right. Then,...
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Ratio of Similarity

For Students 10th
In this ratio of similarity worksheet, 10th graders solve and complete 20 different problems that include defining the ratio of similarity in various figures. First, they determine the ratio of similarity for large and small pairs of...
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Similar Polygons

For Students 10th
For this similar polygons worksheet, 10th graders solve 10 different problems that include determining various similar polygons. First, they determine the perimeter of a second triangle given the measures of all angles in the first....
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Similar Figures

For Students 7th - 9th
For this similar figure worksheet, students identify objects that are similar. They draw polygons according to instructions and determine their similarity. This one-page worksheet contains four multi-step problems.
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Congruent and Similar Figures

For Teachers 2nd
Group that class and get them classifying and sorting figures as congruent or similar. They use magazines to identify and label similar and congruent figures, cutting out images and placing c or s next to each image.
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Similar or Congruent?

For Teachers 10th
Investigate triangles! Your class will examine angle measures and side lengths of two triangles to compare and contrast similarity and congruence.  The dynamic nature of Cabri Jr.  allows students to form and verify conjectures.
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Similar Figures and Scale Drawings: English Learners

For Students 5th - 6th
For this similar figures and scale drawings worksheet, students review the idea of similar figures and learn the meaning of scale in a scale drawing. Students then use the words and numbers in the box to complete the paragraph that helps...
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Similar Polygons and Triangles Review

For Students 9th - 12th
In this similar polygons and triangles review worksheet, students solve 33 short answer problems. Students determine if two given polygons are similar. Students explain the type of similarity if they find two polygons to be similar.
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Ratio Relationships

For Teachers 9th - 11th
Students solve for the different ratio and proportion of a problem. For this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
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Similar Polygons

For Students 9th - 10th
In this geometry worksheet, students solve problems dealing with polygons. They differentiate between similar and congruent polygons. There are 18 questions with an answer key.
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Proportions in Geometry

For Students 7th - 9th
In this proportions worksheet, students complete problems on similar figures, unknown lengths, scales, and more. Students complete 7 problems and complete a drawing.
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Growing Generations of Similar Figures

For Teachers 4th - 5th
Students investigate similar figures using pattern blocks. In this similar figures lesson, students create figures using pattern blocks. Students keep track of the area of their figures.
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Stretching Sam the Man

For Teachers 2nd - 4th
Students explore proportionately and disproportionately stretched objects. For this math lesson, students stretch Sam the Man proportionately and disproportionately using rubber bands. Students analyze the stretched figures.
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Similar Triangles Multiple Choice

For Students 8th - 10th
In this triangle relationships learning exercise, students identify measurements in similar and congruent triangles. Each problem features a drawing of two or more triangles. Students identify missing measurements. There are 5 multiple...
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Similar Triangles - Applied Problems

For Teachers 9th - 12th
Students differentiate between similar and congruent triangles. In this geometry lesson plan, students identify the angles of triangles using the similarity theorem. They apply concepts of triangles to the real world.
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Scaling Figures Two

For Students 5th - 8th
In this similar figures worksheet, students find the missing side of the larger figure when the smaller figure's sides are given. Students complete 4 problems.
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Geometry

For Students 4th
For this similar shapes worksheet, 4th graders complete multiple choice questions where they determine the similar shape to the shape shown. Students complete 4 problems total.
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Geometry --Similar Shapes

For Students 2nd - 3rd
In this geometry worksheet, students circle the shape in the group that is the most similar to the one given. There are four problems to complete.
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Geometry - Similar Shapes

For Students 1st - 3rd
In this similar shapes learning exercise, students complete multiple choice questions where they choose the shape that is the similar shape to the one on the left. Students complete 4 problems.
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Investigating Area and Perimeter of Polygons.

For Teachers 8th - 10th
Student sinvestigate the area and perimeter of polygons. They differentiate between similar and congruent polygons.. They identify the ratio and proportions of the sides and angles of polygons.
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Soda Cans

For Teachers 8th - 10th
Learners identify and use properties of similar figures. In this geometry lesson, students use proportions of the sides of triangles to solve triangular relationships. They use soda can as their visuals.
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Similar Triangles

For Teachers 9th - 10th
Students differentiate between similar and congruent triangles. For this geometry lesson, students identify the missing side and angle of a triangle. They identify the different ratio and proportion of the sides of a triangle.
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The Height of Trees and Mountains (Similar Triangles)

For Teachers 9th - 10th
Students solve problems using triangular theorem. In this geometry instructional activity, students identify similar triangles and prove why they are similar. They differentiate between similar and congruent triangles based on the ratios...
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Congruent and Similar figures

For Teachers 8th
Eighth graders explore congruent and similar figures.  In this eighth grade geometry lesson, 8th graders use geoboards to create congruent and similar figures and explore the relationships between the sides and angles. 
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Similar or Congruent?

For Teachers 9th - 12th
Students investigate the AAA similarity and SSS congruence theorems for triangles.  In this AAA similarity and SSS congruence theorems for triangles, students use Cabri Jr. to measure angles and side lengths.  Students compare...
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Area Patterns

For Teachers 7th - 8th
Students investigate area.  In this middle school mathematics lesson, students investigate patterns in order pairs generated by constructing a sequence of similar shapes.  Students use the data from the patterns to predict the number of...
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Similarity with Shadows

For Teachers 9th - 12th
Students investigate similar figures.  For this similar figures lesson, students record data on height:shadow ratios of at least 5 different objects.  Students draw similar figures on their paper of objects, their shadows, and the angle...
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Similar Figures

For Teachers 10th
Tenth graders explore similar triangles.  In this geometry instructional activity, 10th graders construct similar triangles.  The dynamic nature of Cabri allows students to collect data on angle measure and side lengths as they...
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The Tangent Ratio

For Teachers 9th - 12th
Students explore the concept of the tangent ratio.  In this tangent ratio lesson plan, students construct a right triangle from perpendicular lines.  Students measure the ratio of the legs of the triangles using a geometry program such...
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Ratios in Regular Polygons

For Teachers 10th
Tenth graders explore similar figures.  In this geometry lesson, 10th graders investigate the ratios between corresponding parts of regular polygons using linear measurement.  Students make and test conjectures regarding relationship...
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Similar Figures

For Students 4th - 5th
In this similar figures worksheet, students determine area and perimeter of rectangles and triangles, then explain their thinking. Answers included on page 2.
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Three-Dimensional Similarity

For Teachers 10th
Tenth graders explore the concept of 3-D similarity of polygons.  In this 3-D similarity of polygons lesson, 10th graders measure the lengths, widths, and heights of two boxes that students consider to be similar.  Students work in...
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Conjectures for Congruence and Similarity

For Teachers 9th - 12th
Students explore the concept of congruent and similar figures.  In this congruent and similar figure lesson, students classify pictures according to congruent and similar figures.  Students measure the lengths of various figures to...
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Identifying and Drawing Similar Figures

For Teachers 6th
Sixth graders practice proportionality and ratios. In this proportionality lesson, 6th graders study congruent shapes and triangles. Students use grid paper to draw similar figures. Students explain similar figures in their journal.
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Similarity and Congruence

For Teachers 9th - 12th
Learners explore the concept of similarity and congruence. In this similarity and congruence lesson, students cut out strips of paper and form a triangle. Learners try to prove that their triangles are congruent using the SSS theorem of...
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Similarity and Congruence

For Teachers 9th - 12th
Young scholars explore the concept of similarity and congruence. In this similarity and congruence lesson, students identify and verify whether or not two figures are similar, congruent, or neither. Young scholars use postulates and...
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Identify Similar Figures

For Teachers 6th - 7th
Students explore the concept of similar figures. In this similar figures lesson, students develop the idea that similar figures are a different size but the same shape by comparing similar rectangles. Students use patty paper to trace...
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Solving Word Problems with Proportions and Similar Triangles

For Students 6th - 7th
In this proportions activity, students solve 6 word problems in which proportions are used. There are examples and instructions on the page.
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Similar Triangles and Pythagorean Triples

For Students 8th - 10th
In this similar triangles activity, learners find the length of a missing side when given two similar triangles. They write similarity statements. Students identify Pythagorean triples. This two-page activity contains 26 multi-step...
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Similar Figures

For Students 8th - 10th
In this similar figures worksheet, learners identify similar figures from models and given dimensions. This two-page worksheet contains ten multiple choice problems.
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Proving Triangles Similar

For Students 10th
In this proving triangles similar instructional activity, 10th graders solve and complete 13 different types of problems. First, they explain why the triangles are similar in each situation. Then, students write a similarity statement...
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Geometry: Angle Measurement

For Students 9th - 11th
In this angle measurement worksheet, students explore parallel lines with a transversal and then determine the value of all created angles. They find the measure of all angles in similar figures. This one-page worksheet contains...
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Multiple-Choice Final: Geometry

For Students 10th - Higher Ed
In this geometry final exam, students complete problems covered during the spring semester. They translate points, identify the scale factor, find the missing side of similar figures, and determine angle measurement. This thirteen-page...
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Similar Figures

For Students K - 1st
In this similar figures activity, students solve and complete 7 different types of problems. First, they state whether the two figures on each grid are similar or not. Then, students explain how they can tell whether two figures are...
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Similar Figures: Reteach

For Students 4th - 5th
In this similar figures worksheet, students tell whether the two figures in each exercise are similar. Students complete nine problems for the activity.
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Similar Figures: Practice

For Students 4th - 5th
In this similar figures activity, students tell whether the two figures in the first set are similar. Students then write true or false for each sentence about similar figures and write a sentence or draw an example to explain their...
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Similar Figures

For Students 3rd - 4th
In this geometric figures activity, students solve 5 problems that pertain to similar figures. Students analyze two geometric figures and answer the questions about whether they are similar in shape.
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Similar Figures

For Students 2nd - 3rd
In this similar figures worksheet, students solve 4 word problems relating to similar figures. Houghton Mifflin text is referenced.
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Similar Figures and Scale Drawings: Practice

For Students 6th - 7th
In this similar figures and scale drawing worksheet, students use the scale 1 centimeter to 5 centimeters to find n in the algebra equations for the first four problems. In the second four problems, students use the scale 1/4 inches to 1...
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Problem Solving: Similar Figures and Scale Drawing

For Students 4th - 6th
For this similar figures and scale drawing worksheet, students solve five problems using ratios and scales. They must provide the answer and show their work.
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Reteach: Similar Figures and Scale Drawings

For Students 4th - 6th
In this similar figures and scale drawing worksheet, learners read about using scales, ratios and proportions to solve problems with similar figures. They solve five problems.
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Similar Polygons and Circles

For Students 9th - 12th
In these similar polygons and circles worksheets, students complete 15 questions including 9 word problems regarding similar polygons. Students then complete 15 questions including 1 word problem involving circumference, area, and arc...
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Using Similar Figures

For Students 10th
In this similar figures worksheet, 10th graders solve and complete 15 different problems that include using various similar figures shown. First, they find the corresponding sides in each triangle shown. Then, students use proportions to...
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Unit 5: Worksheet 4 - Proportion

For Students 8th - 10th
For this proportion worksheet, students use proportions to find the length of a missing side of similar triangles. They find percent of a number, and solve real life story problems with percents and discounts. This two-page worksheet...
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Mid-Segment of a Triangle

For Students 10th - 11th
In this triangle instructional activity, students examine triangle diagrams. They determine the perimeter, length of a line, midpoint of a line, and angle measurement from given information. This one-page instructional activity...
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Similarity of Triangles in Numeric Problems

For Students 7th - 9th
In this triangle worksheet, students observe similar triangles and use ratios to determine the missing length of one side of a triangle. This one-page worksheet contains ten problems.
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Quiz: Similarity

For Students 7th - 8th
In this similarity worksheet, students use the characteristics of similar figures to determine the length of one side of a polygon, the height of a tree, or the shortest side of a triangle. They also identify similar figures. ...