Free Printable Triangle Congruence

1.

Are these triangles congruent?

a)

Yes, by SSS

b)

These triangles are not congruent.

c)

Yes, by ASA

d)

Yes, by SAS

e)

Yes, by AAS

2.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

Yes, by SSS

e)

These triangles are not congruent

3.

Are these triangles congruent?

a)

Yes, by SAS

b)

Yes, by SSS

c)

Yes, by AAS

d)

Yes, by ASA

e)

These triangles are not congruent.

4.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

Yes, by AAS

e)

These triangles are not congruent.

5.

Are the triangles congruent?

a)

These triangles are not congruent

b)

Yes, by AAS

c)

Yes, by SAS

d)

Yes, by ASA

e)

Yes, by SSS

6.

Are the triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

These triangles are not congruent.

e)

Yes, by SSS

7.

Are these triangles congruent?

a)

The triangles are not congruent.

b)

Yes, by SSS

c)

Yes, by ASA

d)

Yes, by SAS

e)

Yes, by AAS

8.

TRUE OR FALSE:

These triangles are congruent by SAS.

a)

False

b)

True

9.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

10.

TRUE OR FALSE:

These triangles are congruent by AAS.

a)

False

b)

True

11.

Are these triangles congruent?

a)

Yes, by SSA

b)

Yes, by AAS

c)

Yes, by ASA

d)

These triangles are not congruent.

e)

Yes, by SSS

12.

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

13.

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)

14.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

Yes, by ASA

e)

These triangles are not congruent.

15.

Are these triangles congruent?

a)

Yes, by SAS

b)

Yes, by SSS

c)

These triangles are not congruent.

d)

Yes, by ASA

e)

Yes, by AAS

16.

Are these triangles congruent?

a)

Yes, by ASA

b)

Yes, by SAS

c)

These triangles are not congruent.

d)

Yes, by AAS

e)

Yes, by SSS

17.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

$∠LKN\cong=∠MNK$

b)

$∠NLK\cong∠KMN$

c)

$∠LNK\cong=∠MKN$

d)

$\overline{KN}\cong\overline{KN}$

e)

$\overline{LN}\cong\overline{MK}$

18.

Which pieces of information COULD you use to prove the triangles congruent? (Select multiple.)

a)

$∠Q\cong∠S$

b)

$∠P\cong∠R$

c)

$∠POQ\cong∠ROS$

d)

$\overline{SO}\cong\overline{QO}$

e)

$\overline{RO}\cong\overline{PO}$

19.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

e)

AAS

20.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

21.

What additional information is required to prove the 2 triangles are congruent by SAS

a)

A)

b)

B)

c)

C)

d)

D)

22.

Which of the following are corresponding angles? (Mark all the apply)

a)

∠L ≌∠Q

b)

∠M ≌ ∠ N

c)

∠P ≌ ∠M

d)

∠MLN ≌ ∠PNQ

e)

∠MNL ≌ ∠ PNQ

23.

Which of the following statements are true? (Mark all that apply)

a)

∠P ≌ ∠V

b)

JP ≌ TV

c)

∠L ≌ ∠S

d)

JL ≌ TS

e)

∠J ≌ ∠T

24.

ABCD is congruent to PQRS.

Find the value of x.

a)

38

b)

5

c)

48

d)

100

e)

52

25.

ABCD is congruent to PQRS.

Find the value of y.

a)

38

b)

5

c)

3

d)

7/3

e)

13/3

26.

What is the correct values for x and y?

a)

x = 40, y = 35

b)

x = 35, y = 40

c)

x = 12, y = 30

d)

x = 30, y = 15

27.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

28.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

29.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

30.

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

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

31.

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

a)

AAS

b)

SAS

c)

Vertical angles are congruent (Vertical Angle Thm)

d)

Reflexive Property of Congruence

32.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

33.

Calculate the angle

a)

35°

b)

80°

c)

45°

d)

125°

34.

Calculate the angle

a)

68°

b)

140°

c)

158°

d)

22°

35.

Find the measure of <A.

a)

180

b)

70

c)

54

d)

56

e)

7

36.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

37.

Solve for x.

a)

x = 19

b)

x = 5

c)

x = 7

d)

x = 2

38.

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

a)

∆ACB≅∆ACD

b)

∆BCA≅∆ADC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

39.

What is the measure of BC?

a)

12

b)

6

c)

not enough information

d)

10

40.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

41.

Find the measure of angle F

a)

A

b)

B

c)

C

d)

D

42.

Solve for x.

a)

8

b)

6

c)

15

d)

13

43.

What is the measure of angle A in the triangle?

a)

116°

b)

25°

c)

62°

d)

54°

Triangle Congruence

Total questions: 43

Worksheet time: 1hrs 19mins

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