Honors Geometry Companion Book, Volume 2

8.1 Review Worksheet

8.1.1 Similarity in Right Triangles Write a similarity statement comparing the three triangles in each diagram. 1. Q 2. 3. R

B

A

M

N

T

D C

U

S

P

Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form. 4. 5 and 45 5. 3 and 15 6. 5 and 8

7. 1 4

2 3

27 40

8. 1.5 and 12

9.

and 80

and

Find x, y, and z. 10. x y z 12 4

11.

12.

12.8

z

y

x

y

9.6

z

30

40

x

13.  To estimate the height of the Taipei 101 tower, Andrew stands so that his lines of sight to the top and bottom of the tower form a 90 ° angle. What is the height of the tower to the nearest foot?

91 ft 3 in.

5 ft

74

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