Free Printable Congruent Triangles Retest

1.

What is the ASA congruence criterion?

a)

ASA congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

b)

ASA congruence criterion states that if two sides of one triangle are congruent to two sides of another triangle, then the two triangles are congruent.

c)

ASA congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

d)

ASA congruence criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

2.

In triangle ABC, if angle A is 60 degrees, angle B is 40 degrees, and side AB is 5 cm, find the measure of angle C.

a)

120

b)

100

c)

150

d)

80

3.

In triangle XYZ, if angle X is 90 degrees, angle Y is 30 degrees, and side XY is 8 cm, find the measure of angle Z.

a)

90

b)

45

c)

60

d)

120

4.

True or False: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

a)

True

b)

Not enough information to determine

c)

Sometimes true

d)

False

5.

True or False: If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

a)

False

b)

Sometimes true

c)

Not enough information to determine

d)

True

6.

In triangle PQR, if angle P is 50 degrees, angle Q is 70 degrees, and side PQ is 6 cm, find the measure of angle R.

a)

60

b)

80

c)

40

d)

90

7.

In triangle DEF, if angle D is 45 degrees, angle E is 45 degrees, and side DE is 10 cm, find the measure of angle F.

a)

90

b)

30

c)

120

d)

60

8.

What are the necessary conditions for two triangles to be congruent using the AAS congruence criterion?

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Angle-Angle-Side

d)

Side-Side-Side

9.

What are the necessary conditions for two triangles to be congruent using the ASA congruence criterion?

a)

Two pairs of corresponding congruent angles and a pair of corresponding congruent sides included between the two congruent angles.

b)

Two pairs of corresponding congruent angles and a pair of corresponding congruent sides not included between the two congruent angles.

c)

Two pairs of corresponding congruent sides and a pair of corresponding congruent angles.

d)

Two pairs of corresponding congruent angles and a pair of corresponding congruent sides not included between the two congruent angles.

10.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

11.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

12.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

13.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

14.

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

a)

SSS

b)

SAS

c)

HL

d)

Not Possible

15.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

16.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

17.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

18.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

19.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

20.

Solve for x.

a)

x = 5

b)

x = 20

c)

x = 3

d)

x = 9

21.

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

a)

No

b)

Sometimes

c)

Yes

d)

N/A

22.

Use the picture to answer the question.

a)

30

b)

60

c)

15

d)

120

23.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

24.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

25.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

26.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

27.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

28.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

29.

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

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

30.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

31.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

32.

Which method will not prove triangles are congruent?

a)

ASA

b)

SAS

c)

SSA

d)

AAS

33.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

34.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

35.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

36.

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

a)

SSS

b)

SAS

c)

HL

d)

Not Possible

37.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

38.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

39.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

40.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

41.

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

a)

SSA

b)

AAS

c)

SAS

d)

SSS

42.

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

a)

SAS

b)

SSA

c)

HL

d)

Not Congruent

43.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

44.

Classify the triangle shown in the picture by its angles.

a)

Isosceles

b)

Obtuse

c)

Acute

d)

Right

45.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

46.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

47.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

48.

Find the measure of Angle A.

a)

$40\degree$

b)

$140\degree$

c)

$80\degree$

d)

$100\degree$

49.

Use the Exterior Angle Theorem to find the value of x.

a)

117

b)

94

c)

149

d)

31

50.

Find the value of x.

a)

x = 27

b)

x = 53

c)

x = 49

d)

x = -16

51.

Find the measure of $\angle\ T$

a)

71

b)

98

c)

109

d)

82

52.

Find the measure of $\angle\ B$

a)

30

b)

45

c)

60

d)

90

53.

Name the side opposite of $\angle\ C$

a)

Side AB

b)

Side BC

c)

Side AC

54.

Name the angle opposite side AB.

a)

$\angle\ A$

b)

$\angle\ B$

c)

$\angle\ C$

55.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

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

d)

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

56.

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)

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

57.

Use the Third Angles Theorem to find $m\angle F$

a)

$55\degree$

b)

$42\degree$

c)

$96\degree$

d)

$83\degree$

58.

Use the Third Angles Theorem to find the value of x.

a)

x = 60

b)

x = 55

c)

x = 15

d)

x = 65

59.

Solve for x.

a)

x = 10

b)

x = 4

c)

x = 5

d)

x = 39

60.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

61.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

62.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

63.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

64.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

65.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

66.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

67.

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

a)

A

b)

B

c)

C

d)

D

68.

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

a)

A

b)

B

c)

C

d)

D

69.

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

a)

A

b)

B

c)

C

d)

D

70.

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

a)

SSA

b)

AAS

c)

SAS

d)

SSS

71.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

72.

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

a)

A

b)

B

c)

C

d)

D

73.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

74.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

75.

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

a)

No

b)

Sometimes

c)

Yes

d)

N/A

76.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

77.

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

78.

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

79.

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

80.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

81.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

82.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

83.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

84.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

85.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

86.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

87.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

88.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

89.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

90.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta LEO\cong\Delta OVE$

b)

$\Delta OEV\cong\Delta OLE$

c)

$\Delta OVL\cong\Delta OLV$

d)

$\Delta OLE\cong\Delta OVE$

91.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

92.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

$\overline{RT}\ =\overline{XZ}$

b)

$\angle RST\ =\ \angle XYZ$

c)

$\overline{SR}\ =\overline{YX}$

93.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

94.

How are the triangles congruent?

a)

SAS

b)

ASA

c)

HL

d)

SSS

95.

What additional info would prove each pair of triangles congruent by HL?

a)

$\overline{AC}\cong\overline{AC}$

b)

$\overline{AD}\cong\overline{BC}$

c)

$\angle B\cong\angle D$

d)

<B and <D are right angles

96.

What additional info would prove each pair of triangles congruent by HL?

a)

$\angle M\cong\angle Y$

b)

$\overline{LM}\cong\overline{XY}$

c)

$\overline{LN}\cong\overline{XZ}$

d)

$\angle N\cong\angle Z$

97.

Are the triangles congruent by HL?

a)

Yes

b)

No

98.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

When we have a reflexive side

d)

SSA

99.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

100.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

101.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

102.

6, 8, 12

a)

acute

b)

right

c)

obtuse

d)

not a triangle

103.

9, 12, 15

a)

acute

b)

right

c)

obtuse

d)

not a triangle

104.

2, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

105.

3, 4, 5

a)

acute

b)

right

c)

obtuse

d)

not a triangle

106.

Do the segment lengths 9, 12 and 18 form a right triangle?

a)

Yes

b)

No

107.

9, 13, 15

a)

acute

b)

right

c)

obtuse

d)

not a triangle

108.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

109.

Would these side lengths form a right triangle?

10, 24 and 26

a)

Yes

b)

No

110.

Find the measure of h.

a)

13

b)

20

c)

9.7

d)

10

111.

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

a)

yes

b)

no

112.

What is the distance between the two points?

a)

12.64

b)

16.52

c)

12

d)

16

113.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

114.

a)

11 in

b)

13 in

c)

9.2 in

d)

9.6 in

115.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

116.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

117.

Classify the triangle made up of the side lengths 10, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

118.

Classify the triangle made up of the side lengths 10, 12, 25

a)

acute

b)

right

c)

obtuse

d)

not a triangle

119.

Classify the triangle made up of the side lengths 9, 12, 15

a)

acute

b)

right

c)

obtuse

d)

not a triangle

120.

Classify the triangle made up of the side lengths 6, 8, 12

a)

acute

b)

right

c)

obtuse

d)

not a triangle

121.

Classify the triangle made up of the side lengths 6, 9, 10

a)

acute

b)

right

c)

obtuse

d)

not a triangle

122.

Classify the triangle made up of the side lengths 2, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

123.

Classify the triangle made up of the side lengths 6, 8, 10

a)

acute

b)

right

c)

obtuse

d)

not a triangle

124.

Classify the triangle made up of the side lengths 6, 7, 14

a)

acute

b)

right

c)

obtuse

d)

not a triangle

125.

Classify the triangle made up of the side lengths 9, 13, 15

a)

acute

b)

right

c)

obtuse

d)

not a triangle

126.

Classify the triangle made up of the side lengths 3, 4, 5

a)

acute

b)

right

c)

obtuse

d)

not a triangle

127.

Classify the triangle made up of the side lengths 4, 8, 10

a)

acute

b)

right

c)

obtuse

d)

not a triangle

128.

Classify the triangle made up of the side lengths 6, 9, 17

a)

acute

b)

right

c)

obtuse

d)

not a triangle

129.

Do these side lengths form a right triangle?
13, 35, 36

a)

Yes

b)

No

130.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

131.

a)

A

b)

B

c)

C

d)

D

132.

Which equation would solve for x?

a)

x + 51 + 47 = 180

b)

x = 51 - 47

c)

x = 51 + 47

d)

x + 57 + 47 = 18

133.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

134.

Solve for x.

a)

6

b)

8

c)

15

d)

13

135.

What is the value of x?

a)

75

b)

80

c)

63

d)

60

136.

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

137.

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

138.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

139.

Solve for x.

a)

A

b)

B

c)

C

d)

D

Congruent Triangles Retest

Total questions: 139

Worksheet time: 7hrs 50mins

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