Free Printable Triangle Congruence Test

1.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

2.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

3.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

4.

Describe the transformation:

(x, y) -> (x+3, y)

a)

Translation 3 units to the left

b)

Translation 3 units up

c)

Translation 3 units to the right

d)

Translation 3 units down

5.

Solve for x.

a)

8

b)

9

c)

13

d)

15

6.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

7.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

9.

Which type of angle is this?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

10.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

11.

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

a)

A

b)

B

c)

C

d)

D

12.

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

13.

Supply the missing reasons to complete the proof.
Given: ∠Q ≅ ∠T; $\overline{QR}\ \cong\ \overline{TR}$

a)

3. ASA

4.Substitution

b)

3. SAS

4. CPCTC

c)

3. AAS

4. CPCTC

d)

3. ASA

4. CPCTC

14.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

15.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

16.

If $\Delta MAN\cong\Delta BOY$ , which of the following statements is true about the sides of the 2 triangles?

a)

$\overline{MA}\cong\overline{BO}$

b)

$\overline{AN}\cong\overline{BY}$

c)

$\overline{BO}\cong\overline{NA}$

d)

$\overline{MN}\cong\overline{BO}$

17.

Identify the triangle by its sides and angles

a)

Acute and Equilateral

b)

Obtuse and Equilateral

c)

Acute and Isosceles

d)

Obtuse and Isosceles

18.

What postulate or theorem proves that $\Delta ALE\cong\Delta RTE$ ?

a)

AAA Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

19.

The measures of the angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

20.

In the noted triangle, x = ______

a)

9

b)

12.7

c)

6

d)

14.8

21.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

22.

What is the measure of the angle with the questiion mark?

a)

110 degrees

b)

59 degrees

c)

100 degrees

d)

131 degrees

23.

What type of angle is this?

a)

Acute Angle

b)

Right Angle

c)

Obtuse Angle

d)

Straight Angle

24.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

25.

Are these triangles congruent?

a)

Yes, by ASA

b)

Yes, by SAS

c)

Yes, by AAS

d)

No, this is the SSA one!!

26.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

27.

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

a)

A

b)

B

c)

C

d)

D

28.

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

a)

WV

b)

WU

c)

VU

d)

WB

29.

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

30.

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.

31.

What is the correct values for x and y?

a)

x = 2, y = 2

b)

x = 4, y = 2

c)

x = 6, y = -2

d)

x = 4, y = -2

32.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

33.

Which additional information will prove the triangles congruent by HL?

a)

GH≅SR

b)

FG≅RT

c)

FH≅ST

d)

GH≅ST

34.

How are these triangles congruent?

a)

AAA

b)

Not enough information

c)

ASA

d)

HL

35.

x=

y=

Choose 2 answers

a)

7

b)

25

c)

6

d)

11

e)

18

36.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

37.

What does the word CONGRUENT mean?

a)

Cranky

b)

Different

c)

The Same

d)

Crazy

38.

Name the postulate, if possible, that makes triangles AED and CEB congruent.

a)

SSA

b)

SAS

c)

HL

d)

Not enough information

39.

Which of the following cannot be used to prove triangles congruent?

a)

HL

b)

AAA

c)

SSS

d)

SAS

40.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

41.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

42.

True or False.....
If all of the sides of a triangle are the same, then all of the angles are the same too.

a)

TRUE

b)

FALSE

43.

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

44.

Solve for x.

a)

16

b)

11

c)

50

d)

6

45.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

46.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

47.

IF THESE TRIANGLES ARE CONGRUENT,
WHAT THEOREM PROVES THIS?

a)

A

b)

B

c)

C

d)

D

48.

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

a)

A

b)

B

c)

C

d)

D

49.

What does SSS stand for?

a)

Small Small Small

b)

Side Side Side

c)

Small Side Small

d)

Sam's Silly Side

50.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

51.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

52.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

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

53.

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

54.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

55.

ΔLMO ≅ _______ by ______

a)

ΔNOM , SSS

b)

ΔMON , SSS

c)

ΔNOM , SAS

d)

Cannot Be Determined

Triangle Congruence Test

Total questions: 55

Worksheet time: 3hrs 1mins

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