Free Printable Geo Test 6 Review

1.

Are the triangles similar?

a)

Yes

b)

No

2.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

3.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

4.

Are the triangles similar?

a)

Yes

b)

No

5.

Are the triangles similar?

a)

Yes

b)

No

6.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

7.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

8.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

9.

The triangles are similar by...

a)

SAS

b)

AA

c)

ASA

d)

SSS

10.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar.

11.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

12.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

13.

How do these triangles appear to be similar?

(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

14.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

15.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

16.

Are the triangles similar?

a)

Yes

b)

No

17.

One property of similar triangles is that corresponding angles of two similar triangles are congruent. What is the second property of similar triangles?

a)

Corresponding sides are congruent

b)

Corresponding sides are unrelated

c)

Corresponding sides are equal

d)

Corresponding sides are equally proportional

18.

What is the length of the missing side?

a)

100

b)

95

c)

115

d)

105

19.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

20.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

21.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

22.

Find missing side

a)

5

b)

7

c)

9

d)

11

23.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

24.

What side corresponds with DE?

a)

CA

b)

AB

c)

EC

d)

BA

25.

What side corresponds with AB?

a)

EF

b)

ED

c)

DE

d)

AB

26.

What side corresponds with BC?

a)

FD

b)

ED

c)

EC

d)

CB

27.

Find missing side

a)

5

b)

7

c)

9

d)

11

28.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

29.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

30.

Find the value of x.

a)

6.92

b)

18.67

c)

2.625

d)

13.71

31.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

32.

Solve for x.

a)

3

b)

6

c)

8

d)

9

33.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

34.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

35.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

36.

If CD is a midsegment, find the missing length indicated.

a)

16

b)

8

c)

2

d)

40

37.

Find the missing length

a)

1

b)

5

c)

8

d)

16

38.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

39.

Are the triangles similar? Explain.

a)

No, because only one angle of the triangles is congruent.

b)

Yes, because two of the angles are congruent.

c)

No, because only one triangle has a right angle.

d)

Not enough information to determine.

40.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

41.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

42.

ABCDE ∼ GHJDF. ∠E ≅

a)

∠H

b)

∠D

c)

∠F

d)

∠J

43.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

44.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not proportional.

45.

Solve for x.

a)

12

b)

18

c)

9

d)

36

46.

Solve for x.

a)

3
-----
10

b)

10
-----
3

c)

44x+24
-----------
(2x+4)(4)

d)

30
------
3.1

47.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

48.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

49.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

50.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

2.5 cups milk

b)

1.75 cups milk

c)

2 cups flour

d)

2.25 cups milk

51.

Solve for b

a)

8

b)

17/12

c)

4/3

d)

1/8

52.

Write a proportion to find how many points a student needs to score on a test in order to get the given percent:
The test is worth 12 points.
The test score is 75%.

a)

p/12=100/75

b)

p/100=12/75

c)

p/12=75/100

d)

p/75=12/100

53.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.

a)

c=15

b)

c=18

c)

c=21

d)

c=16

54.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

55.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

56.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

57.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

58.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

59.

a)

1:3

b)

3

c)

2:3

d)

3:2

60.

a)

7

b)

12

c)

6

d)

4

61.

a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

62.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

63.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

64.

Are the triangles similar?

a)

Yes

b)

No

65.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

66.

Find missing side

a)

5

b)

7

c)

9

d)

11

67.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

68.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

69.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

70.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

71.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

72.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

73.

How long is side x?

a)

3

b)

1.5

c)

8

d)

2/3

74.

Find side length X.

a)

30

b)

25

c)

15

d)

40

75.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

76.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

77.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

78.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

79.

a)

15

b)

13

c)

11

d)

17

80.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

81.

Complete each proportion.

CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

82.

a)

7

b)

12

c)

6

d)

4

83.

Name a midsegment of ⌂ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

84.

Name a segment parallel to segment AC

a)

segment DE

b)

segment DB

c)

segment AC

d)

segment BC

85.

Name a segment that has the same length as segment BD

a)

segment BE

b)

segment DE

c)

segment AD

d)

segment AC

86.

name a segment that has half the length of segment AC

a)

segment AD

b)

segment BE

c)

segment DE

d)

segment BC

87.

Name a segment that has twice the length of segment EC

a)

segment BC

b)

segment BE

c)

segment AC

d)

segment BD

88.

Find the coordinates to G.

a)

2

b)

(2, 0)

c)

(0, 2)

d)

(0, 0)

89.

Find the coordinates to H.

a)

(3, 2)

b)

(2, 3)

c)

(3, 3)

d)

(6, 0)

90.

Find the slope of segment DF.

a)

1

b)

2

c)

0

d)

undefined

91.

Find the slope of segment GH.

a)

1

b)

2

c)

0

d)

undefined

92.

If two segments have the same slope, then they are parallel. Are segments DF and GH parallel?

a)

yes

b)

no

93.

Find the length of segment DF.

a)

2

b)

3

c)

4

d)

6

94.

Find the length of segment GH.

a)

2

b)

3

c)

4

d)

6

95.

Does GH = 1/2DF?.

a)

no

b)

yes

96.

Find the measure of ST

a)

12

b)

11

c)

24

d)

no enough information

97.

Find the measure of QR

a)

11

b)

22

c)

24

d)

55

98.

Find the measure of PU

a)

12

b)

11

c)

24

d)

not enough information

99.

Find the measure of angle SUP

a)

55 degrees

b)

125 degrees

c)

180 degrees

d)

not enough information

100.

Find the measure of angle SUR

a)

55 degrees

b)

125 degrees

c)

180 degrees

d)

not enough information

101.

Find the measure of angle PQR

a)

55 degrees

b)

125 degrees

c)

180 degrees

d)

not enough information

102.

Name a midsegment of ⌂ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

103.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

104.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

105.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

106.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

107.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

108.

VW is a midsegment of triangle KIJ. What is the length of segment KI?

a)

-1

b)

-10

c)

18

d)

8

109.

What segment is parallel to EF?

a)

Segment PM

b)

Segment MN

c)

Segment NP

d)

Segment FG

110.

What is the measure of angle X?

a)

60

b)

40

c)

140

d)

100

111.

What is the measure of angle Y?

a)

60

b)

40

c)

140

d)

100

112.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

113.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

114.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

115.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

116.

IJ is a midsegment of triangle MLN. What is the length of segment IJ?

a)

9

b)

6

c)

18

d)

0

117.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

118.

Solve for x.

a)

10

b)

5

c)

7

d)

4

119.

Find the missing length.

a)

35

b)

28

c)

42

d)

13

120.

The Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, then $\frac{AB}{BC\ }=\frac{AE}{?}$ What is the question mark?

a)

BE

b)

CD

c)

AD

d)

ED

121.

Solve for x.

a)

9

b)

8

c)

5

d)

7

122.

Solve for x.

a)

4

b)

9

c)

3

d)

7

123.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

124.

a)

1

b)

2

c)

3

d)

4

125.

Use the converse of the side-splitter theorem to determine if $TU\parallel RS$ . Which statement is true?

a)

Line segment TU is parallel to line segment RS because $\frac{32}{36}=\frac{40}{45}$ .

b)

Line segment TU is not parallel to line segment RS because $\frac{32}{36}\ne\frac{40}{45}$

c)

Line segment TU is parallel to line segment RS because $\frac{32}{45}=\frac{40}{36}$ .

d)

Line segment TU is not parallel to line segment RS because $\frac{32}{45}\ne\frac{40}{36}$ .

126.

Line RS intersects triangle BCD at two points and is parallel to segment DC.

Which statements are correct? Select three options.

a)

△BCD is similar to △BSR.

b)

$\frac{BR}{RD}=\frac{BS}{SC}$

c)

If the ratio of BR to BD is $\frac{2}{3}$ , then it is possible that BS = 6 and BC = 3.

d)

(BR)(SC) = (RD)(BS)

e)

$\frac{BR}{RS}=\frac{BS}{SC}$

127.

Write a proportion and solve for x.

(a)

128.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

129.

Solve for x

a)

49

b)

32.5

c)

19

d)

21.3

130.

Solve for x

a)

2.05

b)

21

c)

17

d)

-32

131.

Solve for x

a)

16

b)

13.9

c)

15.3

d)

11

132.

Solve for x

a)

1.8

b)

-1

c)

14

d)

8.7

133.

Solve for x

a)

15

b)

5

c)

-5

d)

2.1

134.

Solve for x.

a)

7

b)

14

c)

10

d)

5

135.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

136.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

137.

a)

1

b)

2

c)

3

d)

4

138.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

139.

Find length of segment AB.

a)

x = 810

b)

x = 21.6

c)

x = 33.75

d)

x = 67.5

140.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

141.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

142.

Solve for x.

a)

x = 2

b)

x = -1

c)

x = 1

d)

x = 5

143.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

144.

Find the length of the unknown segment.

a)

6

b)

3

c)

7

d)

1

145.

Find the missing length.

a)

5

b)

9

c)

7

d)

8

146.

Find the missing length.

a)

14

b)

20

c)

16

d)

10

147.

Find the missing length.

a)

8

b)

23

c)

11

d)

16

148.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

149.

Solve for x

a)

23.1

b)

47.1

c)

8.5

d)

25

150.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

151.

Find the missing length indicated.

a)

28

b)

8

c)

20

d)

14

152.

Find the missing length.

a)

10

b)

6

c)

8

d)

None of these

Geo Test 6 Review - Similar Triangle

Total questions: 152

Worksheet time: 11hrs 57mins

Similar Resources on Wayground