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Worksheets

Right Triangle Similarity

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Find the value of x.

a)

15

b)

20

c)

48

d)

80

2.

Find the value of x.

a)

20

b)

36

c)

48

d)

60

3.

Find the value of x.

a)

12

b)

60

c)

64

d)

80

4.

Which is the geometric mean for this triangle?

a)

AD=BD∗DC

b)

BD2=AD⋅BC

c)

BD=AD⋅BC

d)

BC=AD∗BD

5.

Find the value of x.

a)

15

b)

60

c)

144

d)

169

6.

What is the correct similarity statement?

a)
b)
c)
d)
7.

What is the geometric mean of AE and AR?

a)

ER

b)

AC

c)

CR

d)

CE

8.

If AE is 9 cm and ER is 4 cm, how long is CE?

a)

36

b)

13

c)

6

d)

4

9.

In the figure, which of the following relationship(s) is/are true?

I. CE=AE×ERCE=\sqrt[]{AE\times ER}  

II. CR=ER×ARCR=\sqrt[]{ER\times AR}  

III. CA=AE×ARCA=\sqrt[]{AE\times AR}  

a)

II only

b)

I and III only

c)

II and III only

d)

I, II, and III

10.

What is the geometric mean of AE and AR?

a)

AC

b)

CR

c)

CE

d)

ER