Free Printable Unit 4 Review

1.

What is the name of this kind of triangle?

a)

Scalene

b)

Isosceles

c)

Equilateral

2.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

3.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

isosceles

c)

equilateral

4.

a)

Equilateral

b)

Isosceles

c)

Scalene

5.

a)

Equilateral

b)

Isosceles

c)

Scalene

6.

a)

Equilateral

b)

Isosceles

c)

Scalene

7.

Classify the triangle by its sides.

a)

Scalene

b)

Equialteral

c)

Isosceles

8.

Classify the triangle by its sides.

a)

isosceles

b)

scalene

c)

equilateral

9.

Classify the triangle by its sides.

a)

equilateral

b)

scalene

c)

isosceles

10.

Classify the triangle by its sides.

a)

scalene

b)

isosceles

c)

equilateral

11.

Classify the triangle by its sides.

a)

scalene

b)

equilateral

c)

isosceles

12.

Classify the triangle by its angles.

a)

Acute

b)

Obtuse

c)

Equiangular

d)

right

13.

Classify the triangle by its angles.

a)

acute

b)

obtuse

c)

equiangular

d)

right

14.

Classify the triangle by its angles.

a)

acute

b)

obtuse

c)

equiangular

d)

right

15.

Classify the triangle by its angles.

a)

acute

b)

obtuse

c)

equiangular

d)

right

16.

Classify the triangle.

a)

acute

b)

equilateral

c)

scalene

d)

obtuse

17.

Classify the triangle.

a)

acute

b)

equilateral

c)

equiangular

d)

obtuse

18.

Classify the triangle.

a)

acute

b)

equiangular

c)

right

d)

obtuse

19.

Given its coordinates, classify ΔDEF by its sides

D\left(8,\ -6\right),\ E\left(-1,\ -3\right),\ F\left(-2,\ 5\right)

(a)

20.

Given its coordinates, classify ΔJKL by its sides

J\left(1,\ -13\right),\ K\left(3,\ 3\right),\ L\left(10,\ -6\right)

(a)

21.

Given its coordinates, classify ΔQRT by its sides

Q\left(-2,\ -1\right),\ R\left(1,\ 5\right),\ T\left(-8,\ -4\right)

(a)

22.

Given its coordinates, classify ΔFGH

F\left(-5,\ 10\right),\ G\left(-2,\ 2\right),\ H\left(-9,\ -7\right)

(a)

23.

Solve for x

a)

28

b)

12

c)

10

d)

2

24.

Solve for x.

a)

16

b)

11

c)

50

d)

6

25.

Solve for a.

a)

4

b)

5

c)

6

d)

7

26.

Which sets of measurements could be the interior angles of a triangle? Select EACH correct answer.

a)

15°, 15°, 150°

b)

10°, 90°, 100°

c)

30°, 30°, 115°

d)

10°, 80°, 90°

e)

60°, 60°, 60°

27.

Find the measure of each angle indicated.

a)

50

b)

55

c)

60

d)

70

28.

Find the measure of each angle indicated.

a)

50

b)

20

c)

29

d)

48

29.

Find the measure of each angle indicated.

a)

22

b)

25

c)

29

d)

55

30.

Find the measure of each angle indicated.

a)

62

b)

53

c)

71

d)

50

31.

Find the measure of each angle indicated.

a)

30

b)

39

c)

70

d)

28

32.

Solve for x.

a)

6

b)

5

c)

-11

d)

4

33.

Solve for x.

a)

7

b)

9

c)

-11

d)

-8

34.

Solve for x.

a)

6

b)

-10

c)

7

d)

-9

35.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

36.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

37.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

38.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

39.

Find the indicated angle measure. (What is ?)

a)

100°

b)

39°

c)

107°

d)

73°

40.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

41.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

42.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

43.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

44.

Solve for x.

a)

1

b)

2

c)

3

d)

4

45.

Which segment is the base?

a)

Segment AB

b)

Segment BC

c)

Segment AC

46.

Which angle is the vertex angle?

a)

<C

b)

<A

c)

<B

47.

If an isosceles triangle has a base angle measuring 40°, then what measure is the VERTEX angle?

a)

120°

b)

100°

c)

40°

d)

80°

48.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

49.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

50.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

51.

Find x

a)

90

b)

45

c)

22

d)

35

52.

Find x

a)

10

b)

32

c)

116

d)

16

53.

$If\ AE\cong DE,\ then\ \angle A\ \cong\angle\ ?$

a)

B

b)

C

c)

D

d)

E

54.

Solve for the value of X.

X= (a)

55.

Solve for x.

a)

72^o

b)

144^o

c)

46^o

d)

36^o

56.

What should be the value of x, y and z?

a)

x=43°

y=10

z=10

b)

x=43°

y=10

z=5

c)

x=47°

y=10

z=5

d)

x=47°

y=10

z=10

57.

What type of triangle is shown?

a)

Isosceles Triangle

b)

Equilateral Triangle

58.

Use the picture to answer the question.

a)

76

b)

28

c)

152

d)

56

59.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

60.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

61.

a)

72

b)

67

c)

65

d)

54

62.

The sides of an equilateral triangle have...

a)

different measures.

b)

Mr M's gallon of water

c)

equal measures.

d)

60°.

63.

Solve for y

a)

70

b)

40

c)

140

d)

Not enough information

64.

a)

A

b)

B

c)

C

d)

D

65.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

66.

What is the measure of BC?

a)

12

b)

6

c)

not enough information

d)

10

67.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

68.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

69.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

70.

In an ______________ triangle, all three angles are less than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

71.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

72.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

73.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

74.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

75.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

76.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

77.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

78.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

79.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

80.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

81.

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

a)

A

b)

B

c)

C

d)

D

82.

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

a)

A

b)

B

c)

C

d)

D

83.

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

a)

A

b)

B

c)

C

d)

D

84.

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

a)

SSA

b)

AAS

c)

SAS

d)

SSS

85.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

86.

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

a)

A

b)

B

c)

C

d)

D

87.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

88.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

89.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

90.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

91.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

92.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

93.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

94.

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

a)

A

b)

B

c)

C

d)

D

95.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

96.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

97.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

98.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

99.

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

a)

A

b)

B

c)

C

d)

D

100.

What additional information is required for the 2 triangles to be congruent by SAS?

a)

A

b)

B

c)

C

d)

D

101.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

102.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

103.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

104.

What is the "reason" for step 3 of the proof?

a)

Proof

b)

Def. of Midpoint

c)

Reflexive Property

d)

Vertical angle Theorem

105.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

106.

A triangle with two congruent sides and two congruent angles (base angles) is called ...

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

107.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

108.

What is reason #4?

a)

ASA

b)

SAS

c)

HL

d)

AAS

109.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

110.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

111.

What is #3 Reason?

a)

Alternate Exterior Angles are congruent when formed by parallel lines

b)

Alternate Interior Angles are congruent when formed by parallel lines

c)

Vertical Angles are congruent

d)

Definition of Angle Bisector

112.

What is #4 Reason?

a)

Alternate Interior Angles are congruent when formed by parallel lines

b)

Vertical Angles are congruent

c)

Reflexive Property

d)

Definition of Angle Bisector

113.

What is #4 Statement?

a)

All of correct

b)

SP ≌ SP

c)

PS ≌ SP

d)

PS ≌ PS

114.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

115.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

116.

What additional information is required for the 2 triangles to be congruent by SAS?

a)

A

b)

B

c)

C

d)

D

117.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

118.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

119.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

120.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle APB\cong\angle CPD$ ; Vertical angles are congruent

b)

$\angle A\approx\angle D$ ; Alternate Interior angles are congruent when formed by parallel lines

c)

$\angle C\cong\angle B$ ; Alternate Interior angles are congruent when formed by parallel lines

d)

$\overline{AB}\cong\overline{CD}$ ; Prove

121.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{DC}\cong\overline{DC}$ ; Reflexive Property

b)

$\angle A\cong\angle B$ ; Reflexive Property

c)

$\angle1\cong\angle2$ ; Reflexive Property

d)

$\overline{AD}\cong\overline{DB}$ ; Midpoint Theorem

122.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

123.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

Unit 4 Review

Total questions: 123

Worksheet time: 9hrs 29mins

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