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Geometry worksheet in which students develop and apply the proportion theorem relating the lengths of corresponding sides and the areas of similar polygons.
Geometry worksheet to help students write and solve proportions to calculate areas and lengths of sides of similar polygons.

Activity 3.8​

Assignment 3.9

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​Assignment 8.13

​Ratio of Areas of Similar Polygons

 
Objective
Develop and apply a theorem relating the areas of similar polygons to the ratio of their scale factors.
 
 

About Geometry Worksheet Assignment 8.13:                   

 

Assignment 8.13 is an introduction to ratio of areas in similar polygons and its relationship to the ratio of scale factors.

 

Prerequisite Skills:  Write ratios (Assignment 6.1).  Find the scale factor in similar polygons (Assignment 6.9).  Solve proportions (Assignment 6.2).

 

Theorem:  The areas of similar polygons are proportional to the squares of the scale factors.

 

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