Free Printable Congruence Test Review

1.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

2.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

3.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

4.

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

a)

40^o

b)

50^o

c)

90^o

d)

45^o

5.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

6.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

7.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

8.

Use the congruency statement to answer the following:
∠F = ∠ ___

a)

H

b)

I

c)

G

d)

not congruent to another angle

9.

ΔEDF ≅ Δ____

a)

ABC

b)

CAB

c)

BAC

10.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

11.

I indicate an angle using this symbol

a)

≅

b)

Δ

c)

∠

d)

Λ

12.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

13.

ΔXYZ ≅ Δ ____

a)

CAB

b)

BAC

c)

ABC

14.

ΔEDF ≅ Δ____

a)

ABC

b)

CAB

c)

BAC

15.

This symbol means congruent

a)

≅

b)

≠

c)

∠

d)

Δ

16.

Congruent sides have the same number of ______

a)

arcs

b)

slash marks

c)

dots

17.

Congruent angles have the same number of ______

a)

arcs

b)

slash marks

c)

dots

18.

Shapes that are the same shape and the same size are ________.

a)

similar

b)

unique

c)

congruent

d)

corresponding

19.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

20.

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F. Hint... be sure to find the measure of ∠F.

a)

40^o

b)

50^o

c)

90^o

d)

45^o

21.

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PQ. Hint... sketch and label a picture.

a)

12

b)

10

c)

2

d)

30

22.

Solve for $x$ given $∆ABC≅∆MNO$ , $AC=34$ , $AB=14-x$ , and $MO=3x-2$ . Hint.... sketch a picture.

a)

12

b)

-20

c)

4

d)

34

23.

This symbol means congruent

a)

≅

b)

≠

c)

∠

d)

Δ

24.

Given: $\Delta ABC\cong\Delta DEF$ Select ALL the true statements.

a)

$\angle C\cong\angle E$

b)

$CA\cong DF$

c)

$\angle E\cong\angle B$

d)

$BC\cong DF$

e)

$\angle A\cong\angle D$

25.

Find y.

a)

2

b)

3

c)

4

d)

5

26.

Find x.

a)

5

b)

4

c)

3

d)

2

27.

What is the length of segment PC?

a)

13cm

b)

21cm

c)

29cm

d)

15m

28.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

29.

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

a)

40^o

b)

50^o

c)

90^o

d)

45^o

30.

Find x. Hint.... this is a review question.

a)

7

b)

9

c)

-11

d)

-6

31.

a)

60°

b)

120°

c)

50°

d)

130°

32.

If $\Delta EHG\cong\Delta KFC$ , which statement is true?

a)

$\overline{EH}\cong\overline{FK}$

b)

$\overline{HG}\ \cong\ \overline{KF}$

c)

$\overline{EG}\ \cong\ \overline{KC}$

d)

$\angle E\cong\angle C$

33.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

34.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

35.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

36.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

37.

Are these triangles congruent?

a)

Yes

b)

No

c)

Not enough informaiton

38.

These triangles are congruent. If ∠A is 48^o what is the measure of ∠F?

a)

48^o

b)

38^o

c)

84^o

d)

94^o

39.

What is Side AB corresponding side?

a)

PR

b)

QR

c)

PQ

d)

AC

40.

The corresponding angle to angle C is:

a)

Angle Q

b)

Angle P

c)

Angle R

d)

none of the answers

41.

What angle is the corresponding angle to angle B?

a)

Angle P

b)

Angle R

c)

Angle Q

d)

Angle A

42.

ABC∼XYZ
Which angles corresponds to ∠A

a)

∠X

b)

∠Y

c)

∠Z

d)

∠B

43.

ABC∼XYZ
Which angles corresponds to ∠B

a)

∠X

b)

∠Y

c)

∠Z

d)

∠A

44.

QRST∼XZWY
Which side corresponds to QR

a)

XZ

b)

ZW

c)

WY

d)

XY

45.

QRST∼XZWY
Which side corresponds to QT

a)

XZ

b)

ZW

c)

WY

d)

XY

46.

What angle corresponds to Angle E?

a)

Angle S

b)

Angle T

c)

Angle R

47.

Which congruence statement is written accurately for the figures?

a)

$\Delta ABC\cong\Delta RDS$

b)

$\Delta ABC\cong\Delta DSR$

c)

$\Delta ABC\cong\Delta SRD$

d)

$\Delta ABC\cong\Delta DRS$

48.

What does x equal?

a)

9

b)

11

c)

17

49.

∠A corresponds with which ∠ in the other triangle ?

a)

∡L

b)

∡M

c)

∡N

d)

None

50.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

51.

In congruent triangles, corresponding parts are always ______.

a)

opposite

b)

equal

c)

equilateral

d)

acute

52.

ΔXYZ ≅ Δ ____

a)

CAB

b)

BAC

c)

ABC

53.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

54.

If $\Delta ABC\ \cong\ \Delta\ EFD$ , what is the length of DF?

a)

17cm

b)

15cm

c)

8cm

55.

If $\Delta ABC\ \cong\ \Delta\ EFD$ , What is the length of DE?

a)

17cm

b)

15cm

c)

8cm

56.

Given: $\Delta ABC\cong\Delta DEF$ Select ALL the true statements.

a)

$\angle C\cong\angle E$

b)

$CA\cong DF$

c)

$\angle E\cong\angle B$

d)

$BC\cong DF$

e)

$\angle A\cong\angle D$

57.

AC ≅

a)

DE

b)

BC

c)

CE

d)

CD

58.

DC ≅

a)

AB

b)

BC

c)

CE

d)

AC

59.

The Triangle Sum Theorem states that...

a)

90

b)

180

c)

4

d)

congruent angles

60.

The Exterior Angle Theorem states that...

a)

< 4

b)

90

c)

< 3

d)

180

61.

a)

95

b)

85

c)

35

d)

45

62.

a)

26

b)

36

c)

85

d)

144

63.

a)

145

b)

113

c)

102

d)

78

64.

a)

89

b)

211

c)

81

d)

119

65.

Find the measurement of the unknown angle, x.

a)

142

b)

38

c)

180

d)

90

66.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

67.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

68.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

69.

If two angles in a triangle are $45\degree\$ and , what is the measure of the third angle?

a)

$75\degree$

b)

$90\degree$

c)

$60\degree$

d)

$70\degree$

70.

Solve for x.

a)

48

b)

55

c)

60

d)

70

71.

Find the measure of the indicated angle.

a)

45°

b)

33°

c)

123°

d)

147°

72.

Solve for x.

a)

16

b)

11

c)

50

d)

6

73.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

74.

The Triangle Sum Theorem deals with _______ of a triangle

a)

angles

b)

sides

75.

Find the measure of each angle indicated.

a)

33°

b)

136°

c)

36°

d)

31°

76.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

77.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

78.

What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?

a)

43

b)

58

c)

72

d)

101

79.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

80.

Solve for x.

a)

-12

b)

-8

c)

-10

d)

-5

81.

Solve for x.

a)

16

b)

11

c)

50

d)

6

82.

What is the value of x?

a)

15

b)

9

c)

12

d)

11

83.

Angles that are exactly 90 degrees are called _____ ______.

a)

tight angles

b)

acute angles

c)

obtuse angles

d)

right angles

84.

What is the correct name of the shaded angle.

a)

$\angle D$

b)

$\angle DCB$

c)

$\angle BDC$

d)

$\angle BD$

85.

What is the correct name of the shaded angle.

a)

$\angle B$

b)

$\angle ABD$

c)

$\angle BC$

d)

$\angle DBC$

86.

The two angles shown are congruent. What is the correct way to write this?

a)

$\angle BCD\cong\angle ACE$

b)

$\angle BCE\cong\angle ACD$

c)

$\angle C\cong\angle C$

d)

$\angle ACB\cong\angle ECD$

87.

Which of the following congruence statements are true?

There may be more than one correct answer.

a)

$\angle A\cong\angle D$

b)

$\angle B\cong\angle E$

c)

$\angle BAC\cong\angle CED$

d)

$\angle ABC\cong\angle ECD$

88.

Give a reason why the triangles are congruent.

a)

SSS

b)

SAS

c)

AAS

d)

ASA

89.

Give a reason why the triangles are congruent.

a)

ASA

b)

SAS

c)

not congruent

d)

AAS

90.

Write a congruency statement and give a reason why the triangles are congruent.

a)

$\Delta$ ABC $\cong$ $\Delta$ DFE

Reason

ASA

b)

$\Delta$ ABC $\cong$ $\Delta$ DEF

Reason

SAS

c)

$\Delta$ ABC $\cong\Delta$ DEF

Reason

ASA

91.

Write a congruency statement and give a reason why the triangles are congruent.

a)

$\Delta$ ABC $\cong\Delta$ FDE

Reason

ASA

b)

$\Delta$ ABC $\cong\Delta$ FDE

Reason

AAS

c)

$\Delta$ ABC $\cong\Delta$ DEF

AAS

92.

Give a reason why the triangles are congruent.

a)

SAS

b)

Not congruent

c)

ASA

d)

SSS

93.

Give a reason why the triangles are congruent.

a)

SSS

b)

AAS

c)

ASA

d)

Not congruent

94.

Give a reason why the triangles are congruent.

a)

SSS

b)

SAS

c)

AAS

d)

ASA

95.

Give a reason why the triangles are congruent

a)

SAS

b)

AAS

c)

ASA

d)

SSS

96.

Give the reason why the triangles are congruent.

a)

SSA

b)

AAS

c)

ASA

d)

Not congruent

97.

Give a reason why the triangles are congruent.

a)

AAS

b)

SAS

c)

ASA

d)

not congruent

98.

Which side corresponds to side AB in the congruent triangle ∆XYZ?

a)

XY

b)

YZ

c)

XZ

d)

YX

99.

Which symbol is used to denote similarity between triangles?

a)

∼

b)

≅

c)

∠

d)

Δ

100.

If ΔABC ≅ ΔDEF, which side corresponds to AB?

a)

DE

b)

EF

c)

FD

d)

DF

101.

Which triangle congruence postulate is shown?

a)

SAS

b)

ASA

c)

SSS

d)

SSA

102.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

103.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

104.

Which is NOT a shortcut to prove triangles congruent?

a)

AAS

b)

SSS

c)

AAA

d)

SAS

105.

What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

106.

Are these triangles congruent? If so, state the criteria that was met to prove congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

107.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

108.

Are these triangles congruent? If so, state the criteria that is met for congruence.

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

109.

∆ABC ≅ ∆XYZ. By which critieria?

a)

SAS

b)

ASA

c)

SSS

d)

SSA

110.

What does AAS stand for?

a)

Angle-Angle-Side

b)

Side-Angle-Angle

c)

Absolutely-Awesome-Size

d)

Amazingly Awesome Sauce

111.

If $\Delta BCA\cong\Delta YZX$ , what angle corresponds to $\angle C$ ?

a)

$\angle Y$

b)

$\angle Z$

c)

$\angle X$

d)

None

112.

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

a)

WV

b)

UW

c)

VU

d)

WB

113.

How are the triangles congruent?

a)

Not congruent

b)

AAS

c)

SAS

d)

ASA

114.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

115.

Which is NOT a Shortcut that proves triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

116.

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

117.

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

118.

Solve for x.

a)

6

b)

8

c)

15

d)

13

119.

What is the measure of angle A in the triangle?

a)

116*

b)

25*

c)

62*

d)

54*

120.

Choose a correct equation to find x.

a)

4x - 2 + 12x + 1 = 75

b)

4x - 2 + 75 = 12x + 1

c)

4x - 2 + 75 + 12x + 1 = 180

d)

4x - 2 - 75

Congruence Test Review

Total questions: 120

Worksheet time: 2hrs 58mins

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