1. 11.7 Perimeters and Areas of Similar Figures

2. Perimeters and Areas of Similar Figures
If the similarity ratio is , then:
The ratio of the perimeters is
The ratio of the areas is

3. Ex 1: The trapezoids are Similar
Find the similarity ratio
(of the top shape to the bottom shape)
Find the perimeter ratio
Find the area ratio

4. Ex 1: The trapezoids are Similar
Find the similarity ratio
Find the perimeter ratio
Find the area ratio

5. Ex 1: The trapezoids are Similar
Find the similarity ratio
Find the perimeter ratio
Find the area ratio

6. Ex 1: The trapezoids are Similar
Find the similarity ratio
Find the perimeter ratio
Find the area ratio

7. Ex 2:
Two similar polygons have corresponding sides in the ratio of 5:7
What is the ratio of the perimeters?
What is the ratio of the areas?

8. Ex 2:
Two similar polygons have corresponding sides in the ratio of 5:7
What is the ratio of the perimeters?
5:7
What is the ratio of the areas?

9. Ex 2:
Two similar polygons have corresponding sides in the ratio of 5:7
What is the ratio of the perimeters?
5:7
What is the ratio of the areas?
25:49

10. Ex 3: The two regular pentagons are similar
The area of the smaller pentagon is 42.3 square cm. What is the area of the larger pentagon

11. Ex 3: The two regular pentagons are similar
The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon

12. Ex 3: The two regular pentagons are similar
The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon

13. Ex 3: The two regular pentagons are similar
The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon

14. Ex 3: The two regular pentagons are similar
The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon

15. Ex 4:
The area of two triangles are 75 square meters and 12 square meters.
What is the similarity ratio
What is the perimeter ratio

16. Ex 4:
The area of two triangles are 75 square meters and 12 square meters.
What is the similarity ratio
75/12 = 25/4 (square root)= 5/2
What is the perimeter ratio

17. Ex 4:
The area of two triangles are 75 square meters and 12 square meters.
What is the similarity ratio
75/12 = 25/4 (square root) 5/2
What is the perimeter ratio
5/2