180 likes | 485 Views
8.6 Perimeters and Areas of Similar Figures. (1 card). Perimeters and Areas of Similar Figures. If the similarity ration is , then: The ratio of the perimeters is The ratio of the areas is. Ex 1: The trapezoids are Similar. Find the similarity ratio
E N D
Perimeters and Areas of Similar Figures • If the similarity ration 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 (of the top shape to the bottom shape) • Find the area ratio (of the top shape to the bottom shape)
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 pentagonsare 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 pentagonsare similar • The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon
Ex 3: The two regular pentagonsare similar • The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon
Ex 3: The two regular pentagonsare similar • The area of the smaller pentagon is 42.3 cm. What is the area of the larger pentagon
Ex 3: The two regular pentagonsare 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