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Geometry Unit 5 CW2- Corresponding parts and congruence theorems

Total questions: 28

Worksheet time: 24mins

Name
Class
Date
1.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
2.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
3.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
4.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)

HL

c)
SSA
d)
AAA
5.

Which of the following proves congruence ONLY for right triangles?

a)
AAS
b)
HL
c)
SAS
d)
SSS
6.

Which of these is NOT a congruence theorem?

a)

SAS

b)

ASA

c)

AAS

d)

SSA

7.

Which of these is NOT a congruence theorem?

a)

SAS

b)

ASA

c)

AAS

d)

AAA

8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
9.
Complete the congruence statement.
a)

ΔCRP\Delta CRP

b)

ΔPCR\Delta PCR

c)

ΔRPC\Delta RPC

d)

ΔPRC\Delta PRC

10.

Use the congruency statement to answer the following:  < F = ___

a)

< H

b)

< I

c)

< G

d)

not congruent to another angle

11.

∆ABC ≅ ∆XYZ, which is true?

a)

AB ≅ XY

b)

AB ≅ YX

c)

AB ≅ XZ

d)

BC ≅ CB

12.
∆JIK ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
13.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
14.

Complete the congruence statement.

a)

< Z

b)

< R

c)

< P

d)

< Q

15.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

c)

HL

d)

AAA

16.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
17.

What is the value of x?

(a)  

18.

What is the value of y?

(a)  

19.
Given that ΔPQR ≅ Δ LJK,  PR=2x+6, JL= 10 units,  LK= 3x-6, find the measure of side PQ. 
a)
12
b)
10
c)
2
d)
30
20.
This symbol means congruent
a)
b)
c)
d)
Δ
21.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = AZ
b)
∠B ≅ ∠Y
c)
∠X ≅ ∠C
d)
AC = XC
22.

What angle corresponds to Angle E?

a)

Angle S

b)

Angle T

c)

Angle R

23.

a)

4

b)

3

c)

2

d)

1

24.

ΔGAMΔERS\Delta GAM\cong\Delta ERS , GA=11\overline{GA}=11  , GM=8\overline{GM}=8 , and AM=7\overline{AM}=7   . What is the length of ER\overline{ER}  ?

a)

7

b)

8

c)

11

d)

26

25.

Name the postulate, if possible, that makes ΔAEDΔCEB\Delta AED\cong\Delta CEB

a)
SSS
b)
SAS
c)
HL
d)
Not Possible
26.

Name the postulate that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

27.

Select all pictures that show Angle-Angle-Side (AAS) congruence.

a)

b)

c)

d)

e)

28.

Which of the following statements are true? (Mark all that apply)

a)

∠P ≌ ∠L

b)

JP ≌ TV

c)

∠L ≌ ∠S

d)

JL ≌ VS

e)

∠J ≌ ∠T