Free Printable Triangle Congruence Competition

1.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

2.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

3.

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

a)

HL

b)

SSA

c)

SAS

d)

AAS

4.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

5.

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

a)

ASA

b)

SAS

c)

AAS

d)

Not enough information

6.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

7.

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

a)

AAS

b)

ASA

c)

SSA

d)

AAA

8.

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

a)

ASA

b)

AAS

c)

SAS

d)

AAA

9.

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

a)

ASA

b)

SSS

c)

SAS

d)

HL

10.

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

a)

Not enough information

b)

SAS

c)

SSA

d)

AAS

11.

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

a)

SAS

b)

ASA

c)

Cannot be proven congruent

d)

HL

12.

How would you name the triangle congruent to triangle ABC?

a)

Triangle FMN

b)

Triangle NMF

c)

Triangle MNF

d)

Triangle MFN

13.

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

a)

Triangle WXZ

b)

Triangle ZWX

c)

Triangle XWZ

d)

Triangle XZW

14.

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

15.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

16.

What additional information is needed to prove the two triangles are congruent by SAS?

a)

$\angle Q\ \cong\ \angle T$

b)

$\overline{QS}\ \cong\overline{TU}$

c)

$\overline{PR}\ \cong\ \overline{SU}$

d)

$\angle R\ \cong\ \angle\ U$

17.

What additional information is needed to prove the two triangles are congruent by ASA?

a)

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

b)

$\angle N\ \cong\angle M$

c)

$\overline{LN}\ \cong\ \overline{PM}$

d)

$\angle L\ \cong\ \angle P$

18.

What additional information is needed to prove the two triangles are congruent by AAS?

a)

$\angle B\ \cong\ \angle K$

b)

$\overline{AB}\ \cong\overline{LK}$

c)

$\angle A\ \cong\ \angle L$

d)

$\overline{BC}\ \cong\ \overline{KM}$

19.

What Triangle Congruence Theorem you can use to prove that the triangles are congruent

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

20.

What Triangle Congruence Theorem you can use to prove that the triangles are congruent

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

21.

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

a)

Triangle XYZ

b)

Triangle ZYX

c)

Triangle YZX

d)

Triangle YXZ

22.

What property states that a side or angle is congruent to itself?

a)

Substitution POE

b)

Addition POE

c)

Reflexive POE

d)

Transitive POE

23.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

24.

What is statement #1?

a)

b)

Given

c)

$\angle BCA\cong\angle DCE$

d)

25.

What is the reason for statement #3?

a)

SAS

b)

Prove

c)

SSA

d)

SSS

26.

What is the reason for statement #2?

a)

Definition of Segment Bisector

b)

Transitive Property

c)

Reflexive Property

d)

Definition of Midpoint

27.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

28.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

29.

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

a)

WV

b)

WU

c)

VU

d)

WB

30.

Why would $\angle ACB\cong\angle DCE$

a)

AAS

b)

Definition of Midpoint

c)

Vertical Angles Theorem

d)

Definition of Parallel Lines

31.

In the given figure, assume that ∆ BSP ≅ ∆ PYB. What is the measure of ∠ Y?

a)

30⁰

b)

50⁰

c)

65⁰

d)

85⁰

32.

In the given figure, assume that ∆ BSP ≅ ∆ PYB. What is the measure of side PS?

a)

20 cm

b)

40 cm

c)

80 cm

d)

94 cm

33.

Given: ∆ LET ≅ ∆ PIC

What is the value of x?

a)

30

b)

40

c)

50

d)

60

34.

Given: ∆ LET ≅ ∆ PIC

What is the value of y?

a)

14

b)

15

c)

16

d)

17

35.

Given: ∆ MAP ≅ ∆ EHP

What is the value of x?

a)

9

b)

10

c)

11

d)

12

36.

Given: ∆ MAP ≅ ∆ EHP

What is the value of y?

a)

28

b)

30

c)

45

d)

52

37.

a)

50

b)

40

c)

30

d)

20

Triangle Congruence Competition

Total questions: 37

Worksheet time: 9hrs 15mins

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