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Worksheets

Congruence

Total questions: 35

Worksheet time: 36mins

Name
Class
Date
1.

Which case indicates that two triangles are congruent?

a)

a

b)

b

c)

c

d)

d

2.

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

a)

SSS

b)

ASA

c)

SSA

d)

RHS

3.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not possible

4.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

5.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not possible

6.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

7.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

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

a)

SSS

b)

SAS

c)

RHS

d)

Not Possible

9.

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

a)

SSS

b)

SAS

c)

ASA

d)

RHS

10.

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

a)

AAS

b)

SAS

c)

ASA

d)

Not possible

11.

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

a)

SAS

b)

SSS

c)

ASA

d)

Not possible

12.

To prove that ΔACB and ΔDFE are congruent by SAS, what additional information is needed?

a)

a

b)

b

c)

c

d)

d

13.

Which of the following conditions will prove that ΔABC is congruent to ΔDEF?

a)

a

b)

b

c)

c

d)

d

14.

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

a)

RHS

b)

SAS

c)

AAS

d)

AAA

15.

Given that ΔDAB and ΔCBA are congruent, which of the following statements is true?

a)

a

b)

b

c)

c

d)

d

16.

Which postulate must be true to prove that ΔACD is congruent to ΔABD??

a)

AAS

b)

SAS

c)

ASA

d)

RHS

17.

Which postulate can be used to prove the triangles are congruent?

a)

AAS

b)

RHS

c)

SAS

d)

Not possible

18.

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

a)

d only

b)

c and d

c)

d and e

d)

c and e

19.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

20.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

21.

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

a)

ASA

b)

SAS

c)

RHS

d)

Not enough information

22.

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

a)

KN QM

b)

N ≅∠M

c)

LN PM

d)

L ≅ ∠P

23.

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

a)

B ≅ ∠K

b)

AB LK

c)

A ≅ ∠L

d)

BC KM

24.

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

a)

SSS

b)

ASA

c)

SAS

d)

Not congruent

25.

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

a)

ASA

b)

RHS

c)

SAS

d)

Not congruent

26.

Which set of triangles are not congruent?

a)

a

b)

b

c)

c

d)

d

27.

Why is the triangle congruent?

a)

SSS

b)

RHS

c)

AAS

d)

ASA

28.

Why is the triangle congruent?

a)

SSS

b)

SAS

c)

SSA

d)

RHS

29.

Why is the triangle ACD and BDC congruent?

a)

ASA

b)

SAS

c)

RHS

d)

SSS

30.

Which one shows ASA postulate?

a)

2 only

b)

1 and 2

c)

1 and 4

d)

2 and 4

31.

Which additional information is required to prove the triangles to be congruent using ASA postulate?

a)

a

b)

b

c)

c

d)

d

32.

Which additional information is needed to prove SAS postulate?

a)

a

b)

b

c)

c

d)

d

33.

Which additional information is needed to prove SAS postulate?

a)

a

b)

b

c)

c

d)

d

34.

Which additional information is needed to prove using SSS postulate?

a)

a

b)

b

c)

c

d)

d

35.

Which of the following are both showing ASA postulate?

a)

1 and 2

b)

1 and 3

c)

1 and 4

d)

2 and 4