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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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Instructional Video14:57
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Flipped Math

Similar Figures

For Students 9th - 12th Standards
Use some similar problems to find side lengths. Pupils learn the definition of similar figures and how it relates to corresponding angles and sides. Using the definition, individuals calculate the lengths of missing sides and practice...
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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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Worksheet
Curated OER

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.
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Worksheet
Curated OER

Lesson 3-5: Proportions and Similar Figures

For Students 9th - 12th
In this similar figures activity, 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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Worksheet
Curated OER

Similarity: Instructional

For Students 7th - 8th
For 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...
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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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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 diagrams and...
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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 factor. ...
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Assessment
Concord Consortium

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...
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Worksheet
Curated OER

Proportional Reasoning: Ratio Applications

For Students 8th
For this ratio applications worksheet, 8th graders solve and complete 24 various types of problems that include proportional reasoning. First, they solve each pair of similar figures for the given variable. Then, students write and solve...
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Worksheet
Curated OER

Ratio of Similarity

For Students 10th
For 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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Worksheet
Curated OER

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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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,...
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Worksheet
Curated OER

Countdown Challenge: Similarity

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

Unit 5: Worksheet 3 - Similar Triangles

For Students 8th - 9th
In this similar triangles activity, learners use proportions to solve for the missing sides of similar triangles. This two-page activity contains 16 multi-step problems.
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Worksheet
Curated OER

Similar Figure Word Problems

For Students 7th - 10th
In this similar figure worksheet, students use similar figures and indirect measurement to determine distance.  They use proportions of similar figures to determine scale figures.  This two-page worksheet contains 8 problems.  Answers...
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Worksheet
Curated OER

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. ...
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Lesson Plan
Virginia Department of Education

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...
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Worksheet
Curated OER

Exploring Similar Polygons

For Students 10th
In this exploring similar polygons worksheet, 10th graders solve 9 various types of problems related to determining whether each polygon is similar or not. First, they write 3 equal ratios to show corresponding sides are proportional to...
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Worksheet
Curated OER

Exploring Similar Polygons

For Students 10th
In this exploring similar polygons worksheet, 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 measurement...
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Worksheet
Curated OER

Scaling Figures Two

For Students 5th - 8th
In this similar figures activity, 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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Worksheet
Curated OER

Side Lengths of Similar Shapes

For Students 6th - 7th
In this geometric shapes worksheet, students analyze similar shapes and find the missing length using a proportion. There are no examples.
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Worksheet
Curated OER

Kuta Software - Infinite Geometry: Similar Triangles

For Students 9th - 12th
In this similar triangles worksheet, students solve 20 short answer problems. Students determine if two given triangles are similar.  Students determine the type of similarity given two triangles. Students are given a sketch of the...