7 2 Similar Polygons Our Goal To identify

Our Goal §To identify and apply similar polygons.

Did you know that…. § The relationship between similar figures lies in the proportionality

What we are going to do…. §Use ratios and proportions to decide whether two

Key Concept: §Two polygons are similar if corresponding _______ are congruent and if the

**When three or more ratios are equal, it is called the extended proportion**

Scale Factor § A scale factor is the ______ of corresponding linear measurements of

A scale model of a house uses the key 1. 5 inches = 3

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7. 2 Similar Polygons

Our Goal §To identify and apply similar polygons.

Fill out 1 -3 on sheet

Did you know that…. § The relationship between similar figures lies in the proportionality of their sides. This allows a movie filmed for a theatre screen to be shrunk to fit on a TV screen. § They use “Letterbox” format that preserves the original aspect ratio of the film. § ***Similar figures are used to create scale drawings***

Similar Figures §

What we are going to do…. §Use ratios and proportions to decide whether two polygons are similar and to find unknown side lengths to similar figures.

Key Concept: §Two polygons are similar if corresponding _______ are congruent and if the _____ of corresponding sides are proportional.

**When three or more ratios are equal, it is called the extended proportion**

Understanding Similarity

Scale Factor § A scale factor is the ______ of corresponding linear measurements of 2 similar triangles.

Scale Factor §

Using Similar Polygons

Using Similar Polygons Problem 3 b

A scale model of a house uses the key 1. 5 inches = 3 feet. Find the measurements below. 1. The length of the model is 7. 5 inches. What is the actual length in feet? 2. The width of the model is 6 inches. What is the actual width in feet?

C Find x. 12 E 3 A x F 10 B

Practice