7-1C Areas and Perimeters of Similar Polygons What is the relationship between the perimeter ratios of similar figures and their similarity ratio? What.

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Presentation transcript:

7-1C Areas and Perimeters of Similar Polygons What is the relationship between the perimeter ratios of similar figures and their similarity ratio? What is the relationship between the area ratios of similar figures and their similarity ratio?

Similarity, Perimeter, and Area Rectangle A Rectangle B 1.What is the length and width of each rectangle? 2.What similarity ratio was used? 3.Find the perimeter of each rectangle. 4.Find the area of each rectangle.

Similarity, Perimeter, and Area 1.What is the length of the sides of each square? 2.What similarity ratio was used? 3.Find the perimeter of each square. 4.Find the area of each square.

How do the similarity ratios of the polygon relate to the ratios of their perimeters and areas? Shape Sim ratioP-ratioA-ratio Rectangle 2 / 1 2 / 1 4 / 1 Square 1 / 3 1 / 3 1 / 9 Pattern ( ) 1 ( ) 1 ( ) 2

ABCDE ~ GHIJK. The similarity ratio of ABCDE to GHIJK is 2. A B C D E H I J K G 1.If the perimeter of GHIJK is 10 cm, what is the perimeter of ABCDE? 2.If the area of ABCDE is 24 cm 2, what is the area of GHIJK? 20 cm 6 cm 2

What is the relationship between the perimeter ratios of similar figures and their similarity ratio? The ratios are the same. What is the relationship between the area ratios of similar figures and their similarity ratio? The similarity ratio is squared.

Assignment 7-1C Page , 16-20