11.7 Perimeters and Areas of Similar Figures

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Presentation transcript:

11.7 Perimeters and Areas of Similar Figures

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

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

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

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

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

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?

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?

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

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

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

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

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

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

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

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

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