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HGEO Ch. 8 Test Review

Total questions: 100

Worksheet time: 10hrs 37mins

Name
Class
Date
1.
a)

HGFE ~ MKLJ

b)

EFGH ~ JMLK

c)

EHGF ~ JMLK

d)

HGFE ~ LMJK

2.
a)

43\frac{\text{4}}{\text{3}}

b)

109\frac{10}{9}

c)

53\frac{5}{3}

d)

34\frac{3}{4}

3.

a)

y = 1.5

b)

y = 1.8

c)

y = 4.5

d)

y = 5

4.

a)

x = 3

b)

x = 2.1

c)

x = 5.25

d)

x = 2.33

5.

a)

MP = 4

b)

MP = 6

c)

MP = 8

d)

MP = 10

6.

Are the triangles similar?

a)

Yes, SSS~

b)

Yes, AA~

c)

Yes, SAS~

d)

NO

7.

Are the triangles similar?

a)

Yes, SSS~

b)

Yes, SAS~

c)

Yes, AA~

d)

NO

8.

Are the triangles similar?

a)

Yes, SSS~

b)

Yes, SAS~

c)

Yes, AA~

d)

NO

9.

Figure A is similar to Figure B. Figure A has a perimeter of 50 inches and one side length is 5 inches. Figure B has a perimeter of 72 inches. Find the corresponding side length.

a)

3.47 inches

b)

7.2 inches

c)

6 inches

d)

6.8 inches

10.

The ratio of the areas of two similar figures is 8:50. what is the ratio of the sides?

a)

4:25

b)

4:5

c)

2:5

d)

8:50

11.

If the scale factor of two similar figures is 3:5. The area of the smaller figure is 34 in2. What is the area of the larger figure? Round to the nearest tenth.

a)

12.2 in2

b)

20.4 in2

c)

56.7 in2

d)

94.4 in2

12.

Find the scale factor

a)

2/5

b)

5/2

c)

1/4

d)

4

13.

The triangles are similar. Find the value of x.

a)

x = 6.4

b)

x = 22.5

c)

x = 28.9

d)

x = 13.6

14.

The triangles are similar. Find the value of x.

a)

x = 4

b)

x = 25

c)

x = 5

d)

x = 9

15.

The polygons are similar. Find the value of x.

a)

x = 10

b)

x = 8

c)

x = 10.67

d)

x = 6

16.

Determine whether the triangles are similar.

a)

AA~

b)

SSS~

c)

SAS~

d)

Not Similar

17.

Determine whether the triangles are similar.

a)

AA~

b)

SSS~

c)

SAS~

d)

Not Similar

18.

Determine whether the triangles are similar.

a)

AA~

b)

SSS~

c)

SAS~

d)

Not Similar

19.

Determine whether the triangles are similar.

a)

AA~

b)

SSS~

c)

SAS~

d)

Not Similar

20.

Find WX.

a)

138.67 m

b)

13 m

c)

78 m

d)

125 m

21.

The triangles are similar. Find the value of x.

a)

x = 6

b)

x = 11

c)

x = 3.5

d)

x = 5.5

22.

Find the value of x.

a)

x = 8

b)

x = 12

c)

x = 10

d)

x = 9

23.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
24.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
25.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
26.
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
27.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
28.

Why are the triangles similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

AAS~

29.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
30.
Are the triangles similar?
a)
Yes
b)
No
31.
Similarity Ratio: _
a)
2/3
b)
1/2
c)
2
d)
3
32.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
33.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
3/2
c)
2
d)
3
34.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

35.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
36.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
37.

Give the reason for similarity

a)

AA~

b)

SAS~

c)

SSS~

d)

Not similar

38.

If the triangles are similar, state how.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not similar

39.

If the triangles are similar, state why.

a)

AA~

b)

SAS~

c)

SSS~

d)

Not similar

40.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
41.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
42.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

43.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
44.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
45.
What is ratio of any two corresponding sides?
a)
Scale Factor
b)
Corresponding Sides
c)
Similar Figures
46.
All angles in similar figures are congruent.  
a)
True
b)
False
47.
What does congruent mean?
a)
Same shape, different size
b)
Not same shape, or size
c)
Same size, same shape
48.
What are matching sides of similar figures?
a)
Corresponding Sides
b)
Corresponding Angles
c)
Scale Factor
49.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
50.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
51.
What is corresponding congruent angles and proportional sides?
a)
Similar Figures
b)
Scale Factor
c)
Congruent Shapes
52.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
3/2
c)
2
d)
3
53.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
54.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
55.
The scale of a mug in a picture is ½ in.=3 cm. Find the actual length of the 4 in. coffee mug.
a)
24 cm
b)
6 cm
c)
30 cm
d)
13 cm
56.
A scale drawing of a flagpole has a scale of 1 in.= 4 ft. If the drawing of the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
57.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
58.
Find missing side.
a)
1/5
b)
5
c)
7
d)
1/7
59.

Determine whether the triangles are similar.

a)

SSS~

b)

AA~

c)

SAS~

d)

not similar

60.
How are these triangles similar? 
a)
A
b)
B
c)
C
d)
D
61.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
62.

If the triangles are similar, state how.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not similar.

63.
Complete each proportion.
AB / AM  =  ? / DM
a)
BC
b)
AC
c)
MD
d)
MC
64.

Are the triangles similar? If so, what similarity test is used?

a)

Similar. SAS~

b)

Similar. AA~

c)

Similar. SSS~

d)

Not Similar

65.

Solve the proportion.

a)

x = 20

b)

x = 7

c)

x = 22

d)

x = 11

66.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question.  The angles change unpredictably.
d)
The angles all change to larger angles.
67.
When you dilate a figure you...
a)
slide it.
b)
turn it.
c)
flip it.
d)
make it larger or smaller.
68.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
69.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
70.

The two rectangles are scale drawings. What is the measurement of x?

a)

x = 21

b)

x = 1.25

c)

x = 20

d)

x = 4

71.
Are the following similar? Why or why not?
a)
Yes, because the corresponding angles are congruent.
b)
No, the numbers are even
c)
No, the sides are 2 times larger, but the width is the same.
72.
All angles in similar figures are congruent.  
a)
True
b)
False
73.
The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?
a)
53⁰,78⁰, and 49⁰
b)
There is not enough information to answer this question.
c)
106⁰,156⁰, and 98⁰
d)
26.5⁰,39⁰, and 24.5⁰
74.

Find x.

a)

x = 10.5

b)

x = 5

c)

x = 8.5

d)

x = 6

75.

Find the perimeter of the large triangle.

a)

24u

b)

36u

c)

12u

d)

54u

76.

Solve for m.

a)

m = -2

b)

m = 2

c)

m = -9

d)

m = 9

77.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
78.

What is the definition of similarity?

a)

same shape, same size

b)

same shape, different size

c)

different shape, same size

d)

different shape, different size

79.

Solve the proportion.

a)

x = 20

b)

x = 7

c)

x = 22

d)

x = 11

80.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question.  The angles change unpredictably.
d)
The angles all change to larger angles.
81.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
82.
Identify the perimeter and area ratios for the following figures.
a)
Per. Ratio=8  Area Ratio=64
b)
Per. Ratio=8/48  Area Ratio=64/2304
c)
Per. Ratio=8/48  Area Ratio=8/48
d)
Per. Ratio=8/48  Area Ratio=2304/64
83.
An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.
a)
288 feet
b)
5802 feet
c)
259 feet
d)
275 feet
84.
An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has an area of 4700 square feet. Find the area of the elementary court.
a)
4700 square feet
b)
5,802 square feet
c)
5,222 square feet
d)
3807 square feet
85.

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

a)

Similar. SAS~

b)

Similar. AA~

c)

Similar. SSS~

d)

Not Similar

86.

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

a)

Similar. SSS~

b)

Similar. SAS~

c)

Similar. AA~

d)

Not Similar.

87.

Answer the question in the image.

a)

27,216 ft2

b)

672 ft2

c)

1008 ft2

d)

336 ft2

88.

Determine whether the triangles are similar. If they are write a similarity statement.

a)

They are not similar.

b)

ΔXYW ~ ΔSRT

c)

ΔXYW ~ ΔTRS

d)

ΔXYW ~ ΔRST

89.

Draw a picture to help you answer the story problem.

a)

6875 ft

b)

2840 ft

c)

227 ft

d)

550 ft

90.

Find AC.

a)

AC = 28

b)

AC = 9.14

c)

AC = 15.75

d)

AC = 14

91.
a)

XY = 14

b)

XY = 6.875

c)

XY = 10

d)

XY = 8

92.

a)

No they are not parallel as the side lengths are not proportional.

b)

Yes they are parallel as the side lengths are proportional.

93.
Are the triangles similar?
a)
Yes
b)
No
94.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
95.

Find x

a)

x = 21

b)

x = 27/7

c)

x = 13

d)

x = 18

96.

Find x

a)

x = 21

b)

x = 27/7

c)

x = 13

d)

x = 18

97.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
98.

Are the two figures similar?

a)

yes

b)

no

c)

not enough information

99.
At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow.  How tall is the flagpole?
a)
3 feet
b)
10 feet
c)
16 feet
d)
30 feet
100.
a)
6.25
b)
5.5
c)
6
d)
5.75

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