Free Printable Triangle Unit Review

1.

∆ABC≅∆XYZ
which is true?

a)

AB=XY

b)

AB=YX

c)

AB=XZ

d)

BC=CB

2.

∆EHG≅∆KFC
Which is a true statement?

a)

EH=FK

b)

HG=KF

c)

EG=KC

d)

m∠E=m∠C

3.

∆PRQ≅∆SRT

a)

TRUE

b)

FALSE

4.

Solve for x

a)

5

b)

4

c)

3

d)

2

5.

Solve for y

a)

2

b)

3

c)

4

d)

5

6.

Solve for x

a)

30

b)

40

c)

50

d)

60

7.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

8.

Find the value of x.

a)

117

b)

94

c)

149

d)

31

9.

Find the value of x.

a)

x = 27

b)

x = 53

c)

x = 49

d)

x = -16

10.

Find the measure of $\angle\ T$

a)

71 $\degree$

b)

98 $\degree$

c)

109 $\degree$

d)

82 $\degree$

11.

Name the side opposite of $\angle\ C$

a)

Side AB

b)

Side BC

c)

Side AC

12.

Name the angle opposite side AB.

a)

$\angle\ A$

b)

$\angle\ B$

c)

$\angle\ C$

13.

Given the two triangles, which statement is true by CPCTC?

a)

$\angle ACB\ \cong\ \angle\ DFE$

b)

$\angle\ BAC\ \cong\ \angle\ FDE$

c)

$\angle CAB\ \cong\angle FED$

d)

$\angle ABC\ \cong\ \angle\ DEF$

14.

Find $m\angle F$

a)

$55\degree$

b)

$42\degree$

c)

$96\degree$

d)

$83\degree$

15.

Solve for x.

a)

x = 10

b)

x = 4

c)

x = 5

d)

x = 39

16.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

17.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

18.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

19.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

20.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

21.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

22.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

AAS

c)

SAS

d)

SSS

23.

Which of the following is not a valid reason to prove congruent triangles?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

24.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

25.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

26.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

HL

d)

Not Possible

27.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

28.

Solve for x.

a)

x = 5

b)

x = 20

c)

x = 3

d)

x = 9

29.

Use the picture to answer the question.

a)

30 $\degree$

b)

60 $\degree$

c)

15 $\degree$

d)

120 $\degree$

30.

What goes from the vertex and bisects the angle at that vertex?

a)

Angle Bisector

b)

Perpendicular Bisector

c)

Median

d)

Midsegment

31.

What goes from the middle of a side and is perpendicular to that same side?

a)

Perpendicular Bisector

b)

Midsegment

c)

Angle Bisector

d)

Altitude

32.

What goes from the vertex to the middle of the opposite side?

a)

Median

b)

Angle Bisector

c)

Midsegment

d)

Altitude

33.

What goes from the vertex and is perpendicular to the opposite side? ("height" of a triangle)

a)

Altitude

b)

Angle Bisector

c)

Perpendicular Bisector

d)

Median

34.

a)

Altitude

b)

Median

c)

Perpendicular Bisector

d)

None

35.

a)

Angle Bisector

b)

Median

c)

Altitude

d)

None

36.

a)

Median

b)

Altitude

c)

Midsegment

d)

None

37.

a)

Median

b)

Perpendicular Bisector

c)

Altitude

d)

Midsegment

38.

a)

Altitude

b)

Median

c)

Angle Bisector

d)

None

39.

a)

Altitude

b)

Perpendicular Bisector

c)

Angle Bisector

d)

None

40.

How do these triangles appear to be similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

41.

How do these triangles appear to be similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

42.

How do these triangles appear to be similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

43.

How do these triangles appear to be similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

44.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

45.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

46.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

47.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

48.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

49.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

50.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

51.

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.

52.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

53.

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

a)

Segment SP and Segment SR

b)

Segment QS and Segment PT

c)

Segment PS and Segment RS

d)

Segment TP and Segment RQ

54.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

55.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

56.

Give the reason for similarity

a)

AA~

b)

SAS~

c)

SSS~

d)

Not similar

57.

Calculate the value of the scale factor between the 2 triangles

a)

$\frac{1}{3}$

b)

3

c)

$\frac{1}{4}$

d)

4

58.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

59.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

60.

What is the height of the Tree?

a)

20 m

b)

15 m

c)

30 m

d)

10 m

61.

Complete the Proof above.

a)

AA~

b)

SSS~

c)

SAS~

d)

HL~

62.

A square has side length 95. What is the length of the diagonal of the square?

a)

134.4

b)

67.2

c)

95√2

d)

(95√2)/2

63.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

64.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

(9√2)/2

65.

Find the perimeter of a right triangle that has legs that are 3 cm and 4 cm.

a)

5 cm

b)

7 cm

c)

10 cm

d)

12 cm

66.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

67.

Right triangle or not?

a)

No

b)

Right

68.

_{^{Find the missing side. Round to the nearest 10th if necessary.}}

a)

29.2

b)

20

c)

400

d)

10

69.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

70.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

c)

maybe

d)

22

71.

Find the approximate value of x

a)

50.7

b)

50.1

c)

60.7

d)

61.0

72.

Solve for x. Round to the nearest tenth.

a)

5.0

b)

6.1

c)

7.7

d)

6.4

73.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

74.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

75.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

76.

Which is the ratio of the opposite leg to the hypotenuse in a right triangle?

a)

sine

b)

cosine

c)

tangent

d)

secant

77.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

78.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

79.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

80.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

81.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

82.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

83.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

84.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

85.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

86.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

87.

Find sin C

a)

21/35

b)

28/21

c)

35/28

d)

28/35

88.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

89.

Which trig function would help you solve for the missing angle?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

90.

Which trig function would you use with this diagram?

a)

^Sine

b)

^Cosine

c)

^Tangent

d)

^Wha??

91.

Two sides of a triangle are 14 cm and 19 cm. What is a possible length for the third side?

a)

5 cm

b)

11 cm

c)

33 cm

d)

40 cm

92.

Find m<B

a)

A

b)

B

c)

C

d)

D

93.

Find BC

a)

A

b)

B

c)

C

d)

D

94.

Find BC

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

Find m<C

a)

A

b)

B

c)

C

d)

D

97.

Find the area to the nearest tenth

a)

A

b)

B

c)

C

d)

D

98.

Find the area to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

99.

Find BC

a)

A

b)

B

c)

C

d)

D

100.

Find the area to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

101.

Find the area to the nearest tenth.

a)

A

b)

B

c)

C

d)

D

102.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

103.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

104.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

105.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

106.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

107.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

108.

Which of the following formulas shows the Law of Cosines?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

109.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

110.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

111.

Use Law of Cosines to find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

112.

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

a)

9285.73 ft

b)

96.36 ft

c)

24061.81 ft

d)

155.12 ft

113.

Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?

a)

5.461 feet

b)

9.743 feet

c)

6 feet

d)

7.65 feet

114.

Parker must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

a)

707643.58

b)

841.22

c)

877.62

d)

842.01

115.

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63. How far away is the bird from Amanda?

a)

25.23

b)

23.19

c)

22.15

d)

20.85

116.

Michael wanted to measure the height of his school's flagpole. He placed a mirror on the ground 48 feet from the flagpole, then walked backwards until he was able to see the top of the pole in the mirror. Using similar triangles, find the height of the flagpole.

a)

20 ft

b)

38.4 ft

c)

55 ft

d)

25 ft

117.

A base angle of an isosceles triangle is 18 more than 4 times the vertex angle. Find the measure of one of the base angles.

(a)

118.

Find x

(a)

119.

What is reason #4?

a)

ASA

b)

SAS

c)

HL

d)

AAS

120.

What is #2 Reason? Remember spelling counts!!

(a)

121.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

122.

Is it possible to draw a triangle with the following angle measures: 80 degrees, 35 degrees, 55 degrees?

a)

Yes

b)

No

123.

What is #3 Reason and #4 Statement?

a)

#3 - Reflexive Property

#4 - ∠ACB ≌ ∠ECD

b)

#3 - Definition of Midpoint

#4 - ∠ACB ≌ ∠ECD

c)

#3 - Segment Bisector

#4 - ∠BCA ≌ ∠DCE

d)

#3 - Reflexive Property

#4 - ∠BCA ≌ ∠DCE

124.

M is the mid point of AB. Name the postulate, if possible, that makes the triangles congruent. Give the correct name of the congruent triangles, if possible.

(a)

125.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

126.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

127.

Find the missing side.

a)

69.8

b)

47.2

c)

45.5

d)

3.6

128.

Find the measure of the indicated angle.

a)

$34\degree$

b)

$40\degree$

c)

$50\degree$

d)

$14\degree$

129.

If 𝐴𝐹̅̅̅̅ ≅ 𝐷𝐸̅̅̅̅ , 𝐴𝐵̅̅̅̅ ≅ 𝐹𝐶̅̅̅̅ and ̅𝐴𝐵̅̅̅̅ || 𝐹𝐶̅̅̅̅ , which theorem or postulate can be used to prove △ABE ≅ △FCD?

a)

ASA

b)

AAA

c)

AAS

d)

SAS

130.

Which of the following lengths cannot be the length of the sides of a triangle?

a)

$12.5,\ 20,\ 30$

b)

$10,\ 10,\ 12$

c)

$4,\ 8.5,\ 14$

d)

$3,\ 3,\ 3$

131.

Which of the following triangle classification does not describe the angles in a triangle?

a)

right

b)

acute

c)

equiangular

d)

scalene

132.

Find the roof, round to the nearest tenth.

a)

5.8

b)

10.7

c)

11.7

d)

14.0

133.

Find the distance from A to B and round to the nearest whole number.

a)

9

b)

17

c)

26

d)

27

134.

A 330 ft string attached to a kite is staked in the ground with an angle of elevation of 60⁰. How high is the kite? Round to the nearest tenth.

a)

165.0

b)

285.8

c)

571.6

d)

660.0

135.

A ramp is 4.4 feet high and the angle from the ramp to the ground is 32⁰. To the nearest hundredth of a foot, how long is the ramp?

a)

23.32

b)

51.88

c)

70.41

d)

83.03

136.

The measures of the triangle are 22, 24, 28. Is the triangle right, obtuse, or acute?

a)

right

b)

acute

c)

obtuse

d)

not a triangle

Triangle Unit Review

Total questions: 136

Worksheet time: 29hrs 6mins

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