Free Printable Congruent Triangles

1.

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

a)

A

b)

B

c)

C

d)

D

2.

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

a)

A

b)

B

c)

C

d)

D

3.

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

a)

A

b)

B

c)

C

d)

D

4.

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

a)

A

b)

B

c)

C

d)

D

5.

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

a)

A

b)

B

c)

C

d)

D

6.

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

a)

WV

b)

WU

c)

VU

d)

WB

7.

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

8.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

9.

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

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

10.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

11.

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)

12.

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

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

13.

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

14.

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

a)

Proof

b)

Def. of Midpoint

c)

Reflexive Property

d)

Vertical angle Theorem

15.

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.

16.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

17.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

18.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

19.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

23.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

24.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

25.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

26.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

27.

What is Reason D?

a)

Vertical Angle Theorem

b)

Reflexive Property

c)

Definition of Congruence

d)

Definition of Vertical Angles

28.

What is Reason F?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

29.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

30.

What is Reason C?

a)

Definition of Equality

b)

Definition of Congruence

c)

Definition of Bisector

d)

CPCTC

31.

What is Reason B?

a)

Definition of Equality

b)

Definition of Congruence

c)

Definition of Bisector

d)

Definition of Midpoint

32.

What is Reason D?

a)

Thm 1 - Congruence of Segments is Reflexive

b)

Definition of Congruence

c)

Definition of Equality

d)

Reflexive Property

33.

What is Reason E?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

34.

What is Reason B?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

35.

What is Reason C?

a)

Definition of Right Angles

b)

Definition of Perpendicular

c)

Definition of Given

d)

Definition of Right Triangles

36.

What is Reason D?

a)

Definition of Congruence

b)

Thm 1 - Congruence of Segments is Reflexive

c)

Reflexive Property

d)

Definition of Equality

37.

What is Reason E?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

38.

What is Reason F?

a)

CPCTC

b)

Given

c)

Definition of Congruence

d)

Definition of Perpendicular

39.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

40.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

41.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

42.

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

a)

$\angle P\cong\angle Q$ ; SAS

b)

$\angle P\cong\angle Q$ ; CPCTC

c)

$\angle P\cong\angle Q$ ; SSS

d)

$\angle P\cong\angle Q$ ; SSA

43.

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

a)

$\overline{WE}\cong\overline{QE}$ ; Midpoint Theorem

b)

$\overline{WN}\cong\overline{GQ}$ ; Prove

c)

$\angle W\cong\angle Q$ ; Alternate Interior

d)

$\angle N\cong\angle G$ ; Alternate Interior

44.

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

a)

$\angle1\cong\angle2$ ;Definition of a Bisector

b)

$\angle ADC\cong\angle BDC$ ; Definition of a Bisector

c)

$\angle A\cong\angle B$ ; Definition of a Bisector

d)

$\overline{AD}\cong\overline{DB}$ ; Definition of a Bisector

45.

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

a)

SSA

b)

ASA

c)

SAS

d)

SSS

46.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

47.

All of the following prove triangles congruent except

a)

SSS

b)

SAS

c)

CPCTC

d)

ASA

48.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

49.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not enough info

50.

Which of the following triangles are congruent to T

*Multiple answers*

a)

b)

c)

d)

51.

Which triangles are congruent to F

a)

b)

c)

d)

none of them

52.

Which triangles are congruent to F?

a)

b)

c)

d)

NONE of them

53.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

Not enough info

54.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SAS

b)

SSS

c)

Both SSS and SAS

d)

Not enough info to prove congruent

55.

Determine the correct conclusion from the given statement

a)

∠1 ≅ ∠4.

b)

∠2 ≅ ∠3.

c)

∠1 ≅ ∠4 AND ∠2 ≅ ∠3.

d)

Segment AB is congruent to Segment CD.

56.

Choose the correct conclusion.

a)

Then segment AC is congruent to segment DC.

b)

Then segment BC is congruent to segment EC.

c)

Then segment AD is congruent to Segment AD.

d)

Then Angle BCA is congruent to Angle ECD.

57.

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

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

58.

In congruent triangles, corresponding parts are always ______.

a)

opposite

b)

congruent

c)

equilateral

d)

acute

Congruent Triangles

Total questions: 58

Worksheet time: 1hrs 10mins

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