Free Printable Review for Test Chapter 7

1.

Write a similarity statement relating the three triangles in the diagram.

a)

$\Delta MQN\sim\Delta MQP\sim\Delta QPN$

b)

$\Delta MNQ\sim\Delta MPQ\sim\Delta QPN$

c)

$\Delta MQN\sim\Delta MPQ\sim\Delta QNP$

d)

$\Delta MNQ\sim\Delta PNQ\sim\Delta PMN$

2.

What is the geometric mean of 5 and 10?

a)

$5\sqrt[]{2}$

b)

$2\sqrt[]{5}$

c)

$7.5$

d)

5

3.

Solve for x and y.

a)

$x=3\sqrt[]{6}$

$y=3\sqrt[]{15}$

b)

$x=3\sqrt[]{15}$

$y=3\sqrt[]{6}$

c)

$x=3$

$y=3$

d)

$x=6$

$y=15$

4.

Using the following diagram, solve for x.

a)

$\frac{27}{2}$

b)

$\frac{2}{27}$

c)

54

d)

$\frac{1}{2}$

5.

Using the given diagram, solve for x.

a)

33

b)

11

c)

62

d)

71

6.

Solve the proportion.

$\frac{x}{6}=\frac{8}{4}$

a)

12

b)

2

c)

5

d)

0

7.

Solve the proportion.

$\frac{k}{k-1}=\frac{5}{10}$

a)

$-1$

b)

1

c)

22

d)

7

8.

State if the triangles are similar. If so, state how you know they are siilar and complete the similarity statement.

a)

Similar; AA similarity; $\Delta TEF$

b)

Similar; SAS similarity; $\Delta ETF$

c)

Not similar

d)

Similar; SAS similarity; $\Delta TEF$

9.

The polygons are similar. Find the missing side length.

a)

24

b)

10

c)

15

d)

11

10.

State if the polygons are similar.

a)

Yes

b)

No

11.

Find the geometric mean.

6 and 14

a)

$2\sqrt[]{21}$

b)

$21\sqrt[]{2}$

c)

2

d)

21

12.

Find the value of x.

a)

$\frac{75}{2}$

b)

$\frac{2}{75}$

c)

2

d)

75

13.

Are the triangles similar? If so, write the similarity statement and name the postulate or theorem you used.

a)

No; corresponding sides are not in propotion.

b)

$\Delta QSR\sim\Delta TVU$ ; SAS Similarity Postulate

c)

$\Delta QSR\sim\Delta TVU;$ SSS Similarity Postulate

d)

$\Delta QSR\sim\Delta TVU;$ AA Similarity Postulate

Review for Test Chapter 7

Total questions: 13

Worksheet time: 1hrs 1mins

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