7.4_practice_b 72w5s

Name

Class

7-4

Date

Practice

Form K

Similarity in Right Triangles

Identify the following in right ∆XYZ. 1. the hypotenuse 2. the segments of the hypotenuse 3. the altitude to the hypotenuse 4. the segment of the hypotenuse adjacent to leg ZY

Write a similarity statement relating the three triangles in each diagram. 5.

6.

7.

8.

Algebra Find the geometric mean of each pair of numbers. 9. 4 and 9

4 = → x2 = x 9

→x=

10. 6 and 12

6 y = → y2 = y

→ y=

11. 14 and 12

12. 6 and 500

13. 4.2 and 10

50 and

14.

2

Use the figure at the right to complete each proportion. 15.

17.

d c = c f

16.

18.

= d

b

=

b e

f b = b

Prentice Hall Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its s. All Rights Reserved.

35

Name

7-4

Class

Practice

Date

Form K

Similarity in Right Triangles (continued)

Algebra Solve for x and y. 19.

20.

21.

22.

23. Error Analysis A classmate writes an incorrect

proportion to find x. Explain and correct the error. 24. A quilter sews three right triangles together to make the

rectangular quilt block at the right. What is the area of the rectangle? • How can you find the dimensions of the rectangle? • What is the formula for the area of a rectangle? 25. The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 9 in. and

12 in. long. Find the length of the altitude to the hypotenuse. 26. The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 4 in. long

and 12 in. long. What are the lengths of the other legs of the triangle?

27. A carpenter is framing a roof for a shed. What is the

length of the longer slope of the roof?

Prentice Hall Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its s. All Rights Reserved.

36