I. Identify the correct proportions and congruent angles for each pair of similar triangles.

1. Geometry/Trig 2 Name __________________________ 7-4, 7-5 Homework Date ___________________________ I. Identify the correct proportions and congruent angles for each pair of similar triangles. 1) ABC  GHI A  ____; B  ____; C  ____ 2) GHI  KJI GHI  ____; HGI  ____; GIH  ____ E II. The below shapes are similar triangles, A 3) MAC  GET Scale Factor = _______ x = ___ y = ___ 30 x 20 y M C 16 G 20 T 4) A 7-foot shadow is created by a stop sign that is 6 feet high. At the same time, a telephone pole creates a shadow of 12 feet. How high is the telephone pole? Round to the nearest tenth. 5) A 5.5’ girl creates a shadow of nine feet. How long would the shadow of an 8 foot tall tree be? Round to the nearest tenth. Island #1 Island #2 6) You are standing on a dock, looking at two islands. The first island is located 580 feet straight from the dock. The second island is 340 feet from the dock. You are standing 500 feet from the second island. How far are you from the first island? Round to the nearest tenth.

2. Geometry/Trig 2 7-4, 7-5 Similarity Applications Homework 7) Given the figure to the right… A) Identify the similar triangles. _____  _____ A B) Identify the scale factor ________ C) Solve for x. Show all work. 5 4 6 B E x C D 8) Given the figure to the right… A) Identify the similar triangles. T G _____  _____ 3 6 B) Identify the scale factor ________ U H C) Solve for x. Show all work. x + 5 x + 5 x 9 4 x + 1 I X W J V K 9) Given the figure to the right… A) Identify the similar triangles. _____  _____ B) Identify the scale factor ________ C) Solve for x. Show all work.