Geometry Companion Book, Volume 2

8.1.1 Similarity in Right Triangles - Worksheet

Example 1: Write a similarity statement comparing the three triangles in each diagram. 1. 2. B 3.

P

C

D

E

R

Q

S

Z

Example 2: Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form. 4. 2 and 50 5. 4 and 16 6. 1 2 and 8

7. 9 and 12

8. 16 and 25

9. 7 and 11

Example 3: Find x, y, and z . 10. 6

11.

12.

4

y

z

6 13

y

10

x

y

x

z

x

20

z

18

Example 4: 13.  To estimate the length of the USS Constitution in Boston harbor, a student locates points T and U as shown. What is RS to the nearest tenth?

R

S

U

T

60 m

4 m

90

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