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Lesson Plan
West Contra Costa Unified School District

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...
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Lesson Plan
Willow Tree

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...
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Handout
Charleston School District

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. 
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Workbook
1
1
University of Utah

Geometry: Transformations, Congruence, and Similarity

For Students 8th Standards
Rigid motions are to congruence as what are to similarity? Investigate properties of rigid motions and define congruence in terms of rigid motions with the ninth chapter of a 10-part eighth grade workbook series. The lesson then prompts...
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Assessment
Charleston School District

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. 
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Interactive
Scholastic

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. 
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Printables
Curated OER

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.    
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Worksheet
Curated OER

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:...
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Lesson Plan
Curated OER

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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Worksheet
Curated OER

Independent Practice 2: Recognizing Similar and Congruent

For Students 7th - 8th
Learners examine given figures and determine if they are similar and congruent or similar and not congruent. Afterward, they match congruent figures drawn in a table. This one-page learning exercise contains 12 problems.
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Lesson Plan
Curated OER

Triangle Congruence with Coordinate

For Teachers 7th - 9th Standards
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
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Assessment
Charleston School District

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. 
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Lesson Plan
1
1
Illustrative Mathematics

Similar Triangles

For Teachers 9th - 11th Standards
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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Lesson Plan
2
2
Illustrative Mathematics

Are They Similar?

For Teachers 9th - 11th Standards
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
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Lesson Plan
EngageNY

The Angle-Angle (AA) Criterion for Two Triangles to Be Similar

For Teachers 9th - 10th Standards
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
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Worksheet
Curated OER

Congruent and Similar Figures: Reteach

For Students 4th - 5th
In this congruent and similar figures worksheet, students review three steps to help them determine if figures are congruent, similar, or neither. Students then study the pairs of shapes and determine if they are congruent, similar, or...
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Lesson Plan
Curated OER

Symmetry, Similar & Congruent Shapes

For Teachers 5th
Fifth graders identify lines of symmetry., similar and congruent shapes. They use construction paper to create their own symmetrical shapes. Students create stained glass frames containing symmetrical, congruent and similar shapes.
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Lesson Plan
Virginia Department of Education

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.
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Lesson Plan
Curated OER

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...
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Worksheet
Curated OER

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...
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Interactive
Scholastic

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. 
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Lesson Plan
Curated OER

Congruent and Similar figures

For Teachers 8th
Eighth graders explore congruent and similar figures.  For 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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Lesson Plan
EngageNY

Definition of Congruence and Some Basic Properties

For Students 8th Standards
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
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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...

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