Free Printable Triangle Congruence and Properties

1.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HD=ND

2.

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

a)

AH=AN

b)

AD=AD

c)

HD=ND

d)

HD=DN

3.

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

a)

HA=HA

b)

Tacos

c)

MA=AM

d)

MA=MA

4.

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

a)

reflexive property

b)

proof

c)

SAS
≅ thrm

d)

given

5.

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

a)

reflexive property

b)

proof

c)

SAS
≅ thrm

d)

given

6.

What is the "reason" for step 4 of the proof?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

7.

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

a)

Vertical Angle Theorem

b)

given

c)

reflexive property

d)

proof

8.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

9.

If the "statement" for step 3 is ∡HJI≅∡KJL of the proof, what is the "reason"?

a)

Vertical Angles

b)

Reflexive Property

c)

Alternate Interior Angles

d)

Given

10.

If the "reason" for step 4?

a)

Vertical Angles

b)

Reflexive Property

c)

Alternate Interior Angles

d)

Given

11.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

12.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

13.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

14.

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

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

not congruent

15.

What is the "statement" for step 4 of the proof?

a)

∡MAH≅∡THA

b)

∆MHA≅∆THA

c)

HM=AT

d)

∆MAH≅∆THA

16.

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

a)

not congruent

b)

yes, SSS

c)

yes, ASA

d)

yes, SAS

17.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

18.

Identify the missing statement or reason

a)

LN≅MJ

b)

JK≅NK

c)

MK≅KL

d)

∠JKM≅∠NKL

19.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

20.

Which option does not work to prove triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

SSA

21.

Why is ∠KMJ ≌∠LJM?

a)

Alternate Exterior angles are congruent

b)

Alternate Interior Angles are congruent

c)

Corresponding Angles are Congruent

d)

Consecutive Interior angles are supplementary

22.

What congruency postulate proves the triangles congruency?

a)

SAS

b)

ASA

c)

SSS

d)

HL

23.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

24.

What is the reason the two triangles are congruent? (Reason #4)

a)

SSS

b)

SAS

c)

ASA

d)

AAS

25.

Which of the following are given statements?

a)

$\overline{AB}\cong\overline{DE}$

b)

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

c)

$\overline{BC}\cong\overline{EF}$

d)

$\angle A\cong\angle D$

26.

Which segment is part of both triangles?

a)

$\overline{PR}$

b)

$\overline{QS}$

c)

$\overline{PS}$

d)

$\overline{QS}$

27.

By your proof, what reason are the 2 triangles congruent?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

28.

Do you need anything beyond the given statements to prove the triangles congruent?

a)

Yes

b)

No

c)

Not Enough information

29.

According to your proof, why are these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

30.

Which piece is part of both triangles?

a)

$\overline{BD}$

b)

$\angle C$

c)

$\overline{AD}$

d)

$\overline{BC}$

31.

Why are the 2 triangles congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

32.

What statement should go into #4?

a)

$\overline{LM}\cong\overline{OP}$

b)

$N\ is\ the\ midpoint\ of\ \overline{MO}$

c)

$\overline{MN}\cong\overline{ON}$

d)

$\overline{LN}\cong\overline{PN}$

33.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

34.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

35.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

36.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

41.

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

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

42.

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

a)

Proof

b)

Def. of Midpoint

c)

Reflexive Property

d)

Vertical angle Theorem

43.

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.

44.

What is the correct choice for Reason 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

45.

What is the correct choice for Statement 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

CPCTC

46.

What is the correct choice for Reason 3?

a)

Vertical Angles are Congruent

b)

Definition of Congruence

c)

Given

d)

Reflexive Property

47.

What is the correct choice for Reason 4?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

48.

If L is the midpoint of TJ, what must be true?

a)

TL=JT

b)

JL=TJ

c)

TL=LJ

d)

T is also the midpoint of JL

49.

If DA bisects IE, then

a)

ID=ED

b)

IA=EA

c)

<IDA=<EDA

d)

<IAD and <EAD are right angles

50.

If AD bisects <EDI, then

a)

<ADE=<IDA

b)

IA=AE

c)

ID=ED

d)

All of the above

51.

If DA is perpendicular to IE, then we can immediately conclude that

a)

IA=AE

b)

<IAD = <DAE

c)

<IDA=<EDA

d)

<IAD and <DAE are right angles

52.

In this picture, we know for sure that

a)

<TEB=<ETS

b)

<BTE=<SET

c)

BE=ST

d)

BE=ST and <BET=<STE

53.

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

a)

A

b)

B

c)

C

d)

D

54.

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

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

55.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

56.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

57.

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

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

58.

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

a)

A

b)

B

c)

C

d)

D

59.

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

a)

A

b)

B

c)

C

d)

D

60.

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

a)

WV

b)

WU

c)

VU

d)

WB

61.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

62.

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

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

63.

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

a)

Proof

b)

Def. of Midpoint

c)

Reflexive Property

d)

Vertical angle Theorem

64.

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.

65.

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

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

66.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

67.

What is reason #4?

a)

ASA

b)

SAS

c)

HL

d)

AAS

68.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

69.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

70.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

71.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

72.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

73.

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

a)

SSA

b)

ASA

c)

SAS

d)

SSS

74.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

75.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

76.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

77.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

78.

ΔEDF ≅ Δ____

a)

ABC

b)

CAB

c)

BAC

79.

If ΔDEF ≅ ΔRST, then we can conclude that ∠T ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

EF

80.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

81.

What is statement #2?

a)

∠ABC≅∠EDC

b)

∠BCA≅∠DCE

c)

BC≅CD

d)

∠E≅∠A

82.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

83.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

84.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

85.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

86.

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

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

87.

What triangle congruence criteria is shown in the given diagram?

a)

ASA

b)

AAS

c)

SSA

d)

HL

88.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

89.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

90.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

91.

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

92.

What is #2 Reason?

a)

Perpendicular Lines

b)

Perpendicular Bisector

c)

Reflexive Property

d)

Segment Bisector

93.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

94.

What is #4 Reason?

a)

Alternate Interior Angles

b)

Vertical Angles

c)

Reflexive Property

d)

Angle Bisector

95.

What is #5 Statement?

a)

∠QPR ≌ ∠STR

b)

∠PQR ≌ ∠STR

c)

∠QRP ≌ ∠TSR

d)

∠QRP ≌ ∠TRS

96.

What is #4 Reason

a)

Definition of Midpoint

b)

Perpendicular Bisector

c)

Segment Bisector

d)

Reflexive Property

97.

What are #3 & #4 Statements?

a)

#3 - Reflexive Property

#4 - Alternate Interior Angles

b)

#3 - Reflexive Property

#4 - Vertical Angles

c)

#3 - Segment Bisector

#4 - Vertical Angles

d)

#3 - Segment Bisector

#4 - Reflexive Property

98.

Which of the following is NOT a true Statement for #5?

a)

∠ABC ≌ ∠EDC

b)

∠CAB ≌ ∠CED

c)

∠BAC ≌ ∠DEC

d)

∠ACB ≌ ∠ECD

99.

What is #4 Statement?

a)

∠ABC ≌ ∠DCE

b)

∠BCA ≌ ∠CED

c)

∠CAB ≌ ∠EDC

d)

None of the following

100.

What is #4 Statement?

a)

All of correct

b)

SP ≌ SP

c)

PS ≌ SP

d)

PS ≌ PS

101.

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

a)

A

b)

B

c)

C

d)

D

102.

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

a)

A

b)

B

c)

C

d)

D

103.

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

a)

A

b)

B

c)

C

d)

D

104.

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

a)

A

b)

B

c)

C

d)

D

105.

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

a)

A

b)

B

c)

C

d)

D

106.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

107.

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

a)

WV

b)

WU

c)

VU

d)

WB

108.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

109.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

110.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

111.

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

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

112.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

113.

What are the 2 missing pieces of information?

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

114.

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

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

115.

What is the "reason" for step 5 of the proof?

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

116.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

117.

What is reason #2?

a)

Vertical angles are congruent.

b)

Consecutive angles are congruent.

c)

Alternate interior angles are congruent.

d)

Definition of Bisect

118.

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

119.

A segment bisector cuts a segment into two congruent

a)

Segments!

b)

Angles

c)

Mysteries

120.

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.

Triangle Congruence and Properties

Total questions: 120

Worksheet time: 5hrs 39mins

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