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Geometry Chapter 8 Review

Total questions: 30

Worksheet time: 47mins

Name
Class
Date
1.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
2.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
3.
Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
4.
Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  60⁰,40⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
5.
Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  80⁰,40⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
6.
Why are the triangles similar?
a)
AA
b)
SAS
c)
SSS
d)
AAS
7.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
8.
Determine whether the triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
not similar
9.

If two figures are similar their corresponding angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

10.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
11.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
12.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
13.
Find the value of x.
a)
90/13
b)
56/3
c)
21/8
d)
96/7
14.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
15.

If the triangles are similar, find x

a)

90

b)

60

c)

30

d)

15

16.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
17.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
18.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
19.
Find the missing length indicated. 
a)
16
b)
8
c)
10
d)
14
20.
Find the missing length indicated.
a)
28
b)
8
c)
20
d)
14
21.
Find the value of x.
a)
10
b)
5
c)
9
d)
None of these
22.

Find the value of x.

a)

8

b)

12

c)

8.5

d)

10

23.
Complete the similarity statement.
ABC ~ ___
a)
ZYX
b)
XZY
c)
YZX
d)
XYZ
24.
The ratio of the areas of two similar triangles is equal to the square of the ratio of theircorresponding sides.
a)
True
b)
False
25.

The figures below are similar. The labeled sides are corresponding.

What is the area of the larger square?

a)

25 m2

b)

1.25 m2

c)

20 m2

d)

16 m2

26.

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the areas of the smaller pentagon to the larger pentagon?

a)

9:5

b)

25:81

c)

5:9

d)

81:25

27.

Find the area of polygon B given similar polygons and the scale factor shown.

a)

23.0 m2

b)

18 m2

c)

18.4 m2

d)

12.5 m2

28.

Given polygons A and B are similar with corresponding dimensions shown, what is the area of polygon B?

a)

6.67 m2

b)

3.33 m2

c)

10 m2

d)

22.5 m2

29.

The figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller hexagon?

a)

5 cm

b)

1/6 cm

c)

6 cm

d)

not enough info

30.

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the perimeter of the smaller pentagon to the larger pentagon?

a)

9:5

b)

25:81

c)

5:9

d)

81:25