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
60
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