 Warm-up 8 x x

A. How are these ’s similar? B. Write a similarity statement. Lets Get Started! C. Write the proportions and solve for x.

Let’s Explore! ABC ~ MNO Find x Find the similarity ratio of ABC : MNO Complete the ratio  Observations? 3 A BC M N O 8 x 16

Let’s Explore! ABCD ~ MNOP Find x Find the similarity ratio of ABCD : MNOP Complete the ratio  Observations? 6 A B C D M NO P x 9 3

Let’s Explore! ABC ~ MNO Find the similarity ratio of ABC : MNO Complete the ratio  Observations? 12 A BC M N O h =6h = 8

Let’s Explore! ABCD ~ MNOP Find the similarity ratio of ABCD : MNOP Complete the ratio  Observations? ¼ A B C D M NO P ½ ¾ 1 ½

Solve: -Two similar triangles have side length in a ratio of 3ft:4ft. The perimeter of the smallest triangle is 96. Find the perimeter of the biggest triangle. - Two rhombii have areas in the ratio of 121in 2 : 196in 2 -what is the ratio of their perimeters? -what is the ratio of their side lengths?

Solve: - If the ratio of the perimeters of two pentagons is 5: 8 and the area of the smaller pentagon is 75cm 2, what is the area of the larger pentagon?