Free Printable Congruent Triangles (3.2

1.

What are postulates used to prove that two triangles are congruent?

a)

SSS, AAA, HHH, LLL, AHA

b)

SSS, SAS, ASA, AAS, HL

c)

AAA, SSA, AHA, HSH, LLL

d)

SSA, AAA, HHH, LLL, AHA

2.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

3.

Which of the following is NOT true.

a)

Angles B and E are 90 degrees

b)

Side AC is a hypotenuse

c)

Side DE is a hypotenuse

d)

Angles A and D are corresponding

4.

∆EHG≅∆KFC
Which are true statements?

(SELECT ALL THAT ARE TRUE)

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

HG≅FC

5.

∆EHG≅∆KFC
Which are true statements?

(SELECT ALL THAT ARE TRUE)

a)

∠E≅∠C

b)

∠H≅∠C

c)

∠G≅∠C

d)

∠E≅∠K

6.

Solve for x

a)

5

b)

4

c)

3

d)

2

7.

Solve for y

a)

2

b)

3

c)

4

d)

5

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

11.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

12.

∠JHI ≅ ?

a)

∠IHJ

b)

∠IHD

c)

∠DHI

d)

DH

13.

Write the triangle congruence statement.

a)

ΔMND ≅ ΔFED

b)

ΔMND ≅ ΔEDF

c)

ΔMND ≅ ΔEFD

d)

ΔDMN ≅ ΔDFE

14.

What method can you use to prove these triangle are congruent?

a)

ASA

b)

AAS

c)

SAS

d)

Not possible

15.

What method can you use to prove these triangle are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

Not possible

16.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

17.

Reflexive properties tells us which of the following congruences are true?

a)

$AC\cong AD$

b)

$CB\cong DB$

c)

$AB\cong AB$

d)

$AC\cong DB$

18.

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

a)

ASA

b)

SAS

c)

SSS

d)

AAA

19.

If two triangles are congruent their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

20.

Given: MN ≅ PO and MP ≅ NO, by what postulate are the triangles congruent?

a)

SSS

b)

SAS

c)

Reflexive Property

d)

Alternate Interior Angles

21.

What should the reason be for statement 2?

a)

Given

b)

Reflexive

c)

Alternate Interior Angles

d)

Parallel Lines

22.

What should the reason be for statement 3?

a)

Given

b)

Reflexive

c)

Segment Bisector

d)

Parallel Lines

23.

What should the reason be for statement 4?

a)

SAS

b)

AAS

c)

ASA

d)

SSS

24.

What should statement 5 be?

a)

$\angle NPM\cong\angle PNO$

b)

$\angle NMP\cong\angle PON$

c)

$NP\cong NP$

d)

$MP\cong NO$

25.

Which congruence statement would be true by CPCTC? (other than the one being proved)

a)

$\angle NPM\cong\angle PON$

b)

$\angle NMP\cong\angle PON$

c)

$NP\cong NO$

d)

$MP\cong NP$

26.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

27.

The triangles are congruent. Which of the following statements must be true?

a)

∠A ≅ ∠D

b)

∠B ≅ ∠E

c)

AB ≅ DE

d)

BC ≅ FD

Congruent Triangles (3.2 - 3.4)

Total questions: 27

Worksheet time: 36mins

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