Free Printable triangle congruence

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

16.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

17.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

18.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

19.

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

a)

A

b)

B

c)

C

d)

D

20.

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

a)

A

b)

B

c)

C

d)

D

21.

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

a)

A

b)

B

c)

C

d)

D

22.

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

a)

A

b)

B

c)

C

d)

D

23.

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

a)

A

b)

B

c)

C

d)

D

24.

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

a)

A

b)

B

c)

C

d)

D

25.

Which property states that ∠A ≅ ∠A?

a)

Distributive Property

b)

Addition Property

c)

Multiplication Property

d)

Reflexive Property

26.

Which is NOT a criteria for triangles to be congruent by the HL Theorem?

a)

Right triangles

b)

congruent hypotenuses

c)

Two pairs of congruent legs

d)

One pair of congruent legs

27.

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

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

28.

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

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

29.

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

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

30.

Are the triangles congruent?

a)

Yes, by AAS

b)

Yes, by AA

c)

Yes, by ASA

d)

Yes, by SAS

e)

Not enough information

31.

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

a)

4

b)

5

c)

3

d)

38

32.

If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]

a)

MN = PR

b)

∠M ≅ ∠P

c)

NO = QR

d)

∠N ≅ ∠Q

33.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

34.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

HL

35.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

36.

Vertical angles are congruent.

a)

True

b)

False

37.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

38.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

39.

What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

40.

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

41.

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

a)

AAA

b)

AAS

c)

ASA

d)

Not necessarily congruent

42.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

43.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

44.

What is the reason?

a)

Definition of Angle

b)

Definition of Congruence

c)

Definition of bisects

d)

Definition of midpoint

45.

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)

46.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

47.

a)

A

b)

B

c)

C

d)

D

48.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Distributive Property

d)

Transitive Property of Congruence

49.

If BCDE ≅ OPQR, then DE =

a)

PQ

b)

OR

c)

OP

d)

QR

50.

a)

Definition of Midpoint

b)

Segment Addition Property

c)

Symmetric Property

d)

Definition of Congruence

e)

Distributive Property

51.

Congruent figures...

a)

Have the same dimensions (side lengths and angle measures)

b)

Are the same shape and size

c)

Can be mapped onto one another using rigid motions

d)

All of the above

52.

How would you name the triangle congruent to triangle ABC?

a)

Triangle FMN

b)

Triangle NMF

c)

Triangle MNF

d)

Triangle MFN

53.

How would you name the triangle that is congruent to triangle XYZ?

a)

Triangle WXZ

b)

Triangle ZWX

c)

Triangle XWZ

d)

Triangle XZW

54.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, not enough information provided

55.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

56.

Given the diagram, which of the following must be true?

a)

∆XSF ≅ ∆XTG

b)

∆SXF ≅ ∆GXT

c)

∆FXS≅ ∆XGT

d)

∆FXS ≅ ∆GXT

57.

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

a)

$\overline{JK}\cong\overline{JK}$ ; Reflexive

b)

$\angle M\cong\angle L$ ; Reflexive

c)

$\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

d)

$\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

58.

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

a)

$\angle GEQ\cong\angle NEW$ Vertical

b)

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

c)

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

d)

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

59.

ΔLMO ≅ _______ by ______

a)

ΔNOM , SSS

b)

ΔMON , SSS

c)

ΔNOM , SAS

d)

Cannot Be Determined

60.

a)

Symmetric Property of ≅ ; SSS

b)

Reflexive Property of ≅ ; SAS

c)

Reflexive Property of ≅ ; SSS

d)

Symmetric Property of ≅; SAS

61.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

62.

When do you use "CPCTC in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

NEver

63.

Determine the correct response for #5 in the proof.

a)

All right angles are congruent

b)

Reflexive Property

c)

Triangle HEF is congruent to Triangle GFE

d)

Corresponding Parts of Congruent Triangles are Congruent

64.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

When we have a reflexive side

d)

SSA

65.

What is the reason?

a)

Definition of perpendicular

b)

Definition of Right angle

c)

Definition of 90

d)

Definition of angle

triangle congruence

Total questions: 65

Worksheet time: 1hrs 18mins

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