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Right Triangle Similarity 1

Total questions: 6

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

Complete the similarity statement relating the three triangles in each diagram.

a)

△MPN ~ △MQP~ △NQP

b)

△MPN ~ △MPQ~ △NQP

c)

△MPN ~ △MQP~ △PQN

d)

△MPN ~ △MPQ~ △PQN

2.

Complete the similarity statement relating the three triangles in the diagram.

a)

△FDE ~ △GDF ~ △GFE

b)

△FDE ~ △GFD~ △GFE

c)

△FDE ~ △GFD~ △GFE

d)

△FDE ~ △GFD ~ △GEF

3.

Complete the similarity statement relating the three triangles in each diagram.

△ABC ~ △_______ ~ △_______

a)

△ABC ~ △BDC ~ △ADB

b)

△ABC ~ △CDB ~ △ADB

c)

△ABC ~ △BDC ~ △BDA

d)

△ABC ~ △DBC ~ △ADB

4.

VW ∥ UX. Find WX.

a)

23

b)

46

c)

92

d)

100

5.

Given the diagram at the right.

Find x, to the nearest degree.

a)

53

b)

45

c)

39

d)

37

6.

Solve for x

a)

4.1

b)

6.5

c)

7.8

d)

10