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Triangle Congruence & Proofs Test Review

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
2.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
3.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
4.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
5.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
6.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
7.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
8.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
9.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
10.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
11.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
12.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
13.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
14.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

15.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

16.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

17.

In this picture, we know for sure that

a)

m∠TEB = m∠ETSm\angle TEB\ =\ m\angle ETS

b)

m∠BTE = m∠SETm\angle BTE\ =\ m\angle SET

c)

BE = ST

d)

Both 1 and 2 are correct

18.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
19.
If DA is perpendicular to IE, then we can immediately conclude that
a)
IA=AE
b)
<IAD = <DAE
c)
<IDA=<EDA
d)
<IAD and <DAE are right angles
20.
In this picture,
a)
<BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other
b)
<C=<C because they are vertical angles and vertical angles are always congruent to each other
c)
<EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other
d)
None of the above; we don't actually have vertical angles