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congruence tests

Total questions: 21

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not enough information

2.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

3.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not enough information

4.

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

a)

SAS

b)

SSS

c)

AAS

d)

Not enough information

5.

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

a)

SAS

b)

ASA

c)

RHS

d)

Not enough information

6.

What information is missing, if the triangles are congruent by RHS?

a)

∠G ≅ ∠X

b)

∠H ≅ ∠W

c)

GI ≅ XV

d)

GH ≅ XW

7.
Which of the following cannot be used to prove triangles congruent?
a)
HL
b)
AAA
c)
SSS
d)
SAS
8.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by RHS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

9.
IF THESE TRIANGLES ARE CONGRUENT, 
WHAT THEOREM PROVES THIS? 
a)
SSS
b)
SAS
c)
ASA
10.
What information is missing to determine if the triangles are congruent by SAS?
a)
CA≅ NL
b)
∠C ≅ ∠N
c)
∠A ≅ ∠L
d)
∠B ≅ ∠M
11.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
12.
IF THESE TRIANGLES ARE CONGRUENT, 
WHAT THEOREM PROVES THIS? 
a)
SSS
b)
SAS
c)
ASA
13.
IF THESE TRIANGLES ARE CONGRUENT, 
WHAT THEOREM PROVES THIS? 
a)
SSS
b)
SAS
c)
ASA
14.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by SAS≅

c)

Yes, by RHS≅

d)

Yes, by AAS≅

e)

Not enough information

15.

True or False.....

If all of the sides of two triangle are same , then all the angles are the same too.

a)

TRUE

b)

FALSE

16.

if these triangles are congruent then write the congruence statement .What test you will use to prove these triangles to be congruent?

a)

 ΔPQR≅ΔSPT\Delta PQR\cong\Delta SPT  (SAS congruence)

b)

 ΔPQR≅ΔPTS\Delta PQR\cong\Delta PTS  (ASA congruence)

c)

 ΔPRQ≅ΔPTS\Delta PRQ\cong\Delta PTS  (RHS congruence)

17.

if these triangles are congruent then write the congruence statement .What test you will use to prove these triangles to be congruent?

a)

ΔSPQ≅ΔSRQ\Delta SPQ\cong\Delta SRQ (ASA congruence)

b)

ΔSPQ≅ΔQRS\Delta SPQ\cong\Delta QRS (SAS congruence)

c)

not congruent

d)

not enough information

18.

if these triangles are congruent then write the congruence statement .What test you will use to prove these triangles to be congruent?

a)

ΔABC≅ΔXYZ\Delta ABC\cong\Delta XYZ

b)

ΔABC≅ΔYZX\Delta ABC\cong\Delta YZX

c)

Not congruent

d)

not enough information

19.

if these triangles are congruent then write the congruence statement .What test you will use to prove these triangles to be congruent?

a)

ΔVWX≅ΔZYX\Delta VWX\cong\Delta ZYX (ASA congruence)

b)

ΔVWX≅ΔXYZ\Delta VWX\cong\Delta XYZ (SAS congruence)

c)

not congruent

d)

not enough information

20.

if these triangles are congruent then write the congruence statement .What test you will use to prove these triangles to be congruent?

a)

ΔABC≅ΔDCB\Delta ABC\cong\Delta DCB (AAS congruence)

b)

ΔABC≅ΔDBC\Delta ABC\cong\Delta DBC (SAS congruence test)

c)

not congruent

d)

not enough information

21.

if these triangles are congruent then write the congruence statement .What test you will use to prove these triangles to be congruent?

a)

ΔABC≅ΔEDC\Delta ABC\cong\Delta EDC (ASA congruence)

b)

ΔABC≅ΔEDC\Delta ABC\cong\Delta EDC (RHS congruence test)

c)

Not congruent

d)

not enough information