A cat is stuck in a tree and firefighters try to rescue it A cat is stuck in a tree and firefighters try to rescue it. Based on the figure, if a firefighter climbs to the top of the ladder, how far away is the cat from the firefighter? Problem of the Day

20) 50 22) About 891 ft 24) x = 2; y = 5 36) 21 38) 2, 3, 6, 4 Answers to 7-4

Section 7-5 Parts of Similar Triangles

Then Now Objectives You learned that corresponding sides of similar polygons are proportional. Recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles. Use the Triangle Bisector Theorem.

Common Core State Standards Content Standards G.SRT.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Mathematical Practices 1) Make sense of problems and persevere in solving them. 3) Construct viable arguments and critique the reasoning of others. Common Core State Standards

Theorems If two triangles are similar, then the lengths of the corresponding ALTITUDES ANGLE BISECTORS MEDIANS are proportional to the length of the corresponding sides.

Find the value of x. Example 1

Find the value of x. Example 1

Find the value of x. Example 1

Find the value of x. Example 3

Find the value of x. Example 3

Find the value of x. Example 3

p.504 #1, 2, 6 – 9, 20 – 22, 41, 47 Homework

The playground at Hank’s school has a large right triangle painted on the ground. Hank starts at the right angle corner and walks toward the opposite side along an angle bisector and stops when he gets to the hypotenuse. How much farther from Hank is point B versus point A? Problem of the Day

2) 12 6) 28 8) 8 20) 7 22) 3.1 Answers to 7-5