Lesson Plan
Curated OER

CSI Investigation of Congruence and Similarity

For Teachers 9th - 12th
Students differentiate between similarity and congruence using polygons. In this geometry instructional activity, students label triangles based on their properties. They find missing sides and angles using the interior sum theorem.
Worksheet
Curated OER

Exploring Similar Figures

For Students 10th
In this similar figures instructional activity, 10th graders solve and measure 10 different angles that are similar. First, they determine which angel corresponds to each given angle. Then, students determine the scale factor of a...
Interactive
Curated OER

Similar Figures

For Students 7th - 10th
In this similar figures worksheet, students identify the meaning of similar, corresponding sides, and congruent.  They use proportions to find the length of a missing side.  Students dilate given figures according to a scale...
Lesson Plan
Curated OER

Similarity and Congruence

For Teachers 9th - 12th
Learners explore the concept of similarity and congruence. For this similarity and congruence lesson, students identify and verify whether or not two figures are similar, congruent, or neither. Learners use postulates and theorems such...
Lesson Plan
Virginia Department of Education

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 Plan
Futures Channel

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 Plan
Curated OER

Math: Symmetry and Similarity

For Teachers 6th - 8th
Students describe the differences between congruence and similarity. After explaining the motions that indicate congruency of two shapes, they complete worksheets to draw lines of symmetry and similar shapes. With straws and twist...
Worksheet
Curated OER

Ratio of Similarity

For Students 10th
In this ratio of similarity activity, 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...
Worksheet
Curated OER

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 Plan
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...
Worksheet
Curated OER

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.
Worksheet
Curated OER

Similar Polygons

For Students 10th
In this similar polygons worksheet, 10th graders solve and complete 20 various types of problems. First, they solve each proportion. Then, students write a ratio expressing the slope of a line through each pair of points. In addition,...
Lesson Plan
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...
Interactive
Curated OER

Similar Polygons

For Students 7th - 8th
In this similar polygons worksheet, students identify the corresponding sides of polygons.  They use proportions to solve problems.  Students determine the scale factor of similar figures.  This two-page worksheet contains...
Handout
Charleston School District

Transformation Basics

For Students 8th Standards
Transformations are more than the process in which sports cars become fighting robots. Listed in terms of which transformations give congruent or similar figures, several resources provide definitions and examples of the four...
Assessment
Inside Mathematics

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 Plan
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 Plan
Curated OER

Similarity and Congruence

For Teachers 9th - 12th
Students determine that two figures are similar or congruent by investigating figures that are similar and figures that are congruent. They prove that two figures are similar or congruent by using definitions, postulates, and theorems.
Lesson Plan
Curated OER

An Application of Congruence

For Teachers 9th - 10th
Learners solve triangles using the properties if congruency. For this geometry lesson, students apply congruent and similar figures to solve real world and math problems. They show they are able to follow instructions.
Lesson Plan
Curated OER

Investigation-Looking at Polygons

For Teachers 8th
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Lesson Plan
EngageNY

Similarity and the Angle Bisector Theorem

For Teachers 9th - 10th Standards
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Worksheet
Curated OER

Exploring Similar Polygons

For Students 10th
In this exploring similar polygons learning exercise, 10th graders solve 9 various problems that are related to similar polygons. First, they define similar and the symbol used to identify similar to another. Then, students find the...
Handout
El Paso Community College

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. 
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 6

For Students 7th Standards
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...