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Triangle Congruence Statements

Total questions: 30

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

2.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
3.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
4.
These two triangles are congruent. If ∠C is 40o find the measure of ∠F.
a)
40o
b)
50o
c)
90o
d)
45o
5.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
6.

Which of these is a triangle congruence statement?

a)

AB DE\overline{AB\ }\ \cong\ \overline{DE}

b)

<A<D, <B<E, <C<F<A\cong<D,\ <B\cong<E,\ <C\cong<F

c)

ΔABC ΔDEF\Delta ABC\ \cong\Delta DEF

d)

All of the above are triangle congruence statements

7.

Which Angle is included between AB and AC?

a)

Angle A

b)

Angle B

c)

Angle C

8.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
9.
These triangles are congruent. If ∠A is 48o what is the measure of ∠F?
a)
48o
b)
38o
c)
84o
d)
94o
10.

True or False: Angle A is included between sides BC and CA

a)

True

b)

False

c)

Side AB

d)

Angle C

11.

Which two sides include angle B (choose both)

a)

Side AC

b)

Side AB

c)

Side BC

12.

If ∆PIG ≅ ∆COW, PG≅?

a)

GI

b)

PI

c)

PG

d)

CW

13.

Given 

 ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\   
 A  ?\angle A\ \cong\ ?  

a)

 D\angle D  

b)

 E\angle E  

c)

 F\angle F  

d)

 C\angle C  

14.

Given 

 ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\   
 C  ?\angle C\ \cong\ ?  

a)

 D\angle D  

b)

 E\angle E  

c)

 F\angle F  

d)

 A\angle A  

15.

Given 

 ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\   
 CA  ?\overline{CA}\ \cong\ ?  

a)

 DE\overline{DE}  

b)

 EF\overline{EF}  

c)

 DF\overline{DF}  

d)

 FD\overline{FD}  

16.

Given Hexagons 

 ABCDEF PQRSTUABCDEF\ \cong PQRSTU  
 S ?\angle S\cong\ ?  

a)

 A\angle A  

b)

 B\angle B  

c)

 C\angle C  

d)

 D\angle D  

e)

 E\angle E  

17.

Given Hexagons 

 ABCDEF PQRSTUABCDEF\ \cong PQRSTU  
 DC ?\overline{DC}\ \cong?  

a)

 RS\overline{RS}  

b)

 PQ\overline{PQ}  

c)

 ST\overline{ST}  

d)

 SR\overline{SR}  

e)

 UT\overline{UT}  

18.

 ΔPETΔDOG\Delta PET\cong\Delta DOG  

Which of the following are TRUE 

a)

 PD\angle P\cong\angle D  

b)

 TEGO\overline{TE}\cong\overline{GO}  

c)

 TO\angle T\cong\angle O  

d)

 TPGD\overline{TP}\cong\overline{GD}  

e)

 TEOG\overline{TE}\cong\overline{OG}  

19.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
20.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
21.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
22.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
23.
How are these triangles congruent?
a)
AAA
b)
Not enough information
c)
ASA
d)
HL
24.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
25.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
26.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

27.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

28.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

29.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

30.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Not enough information