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Triangle Congruence Proofs (2)

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

What statement and reason goes in the boxes labeled "1"?

a)

S: BO  BO\overline{BO}\ \cong\ \overline{BO}  

R: Reflexive PoC

b)

S:   BH  BC\overline{BH}\ \cong\ \overline{BC}  

R: Opp sides are \cong  

c)

S: OH  OC\overline{OH}\ \cong\ \overline{OC}  

R: Opp sides are \cong  

d)

S: BO  BO\overline{BO}\ \cong\ \overline{BO}  

R: Transitive PoC

2.

What statement and reason goes in the boxes labeled "2"?

a)

S: ΔBHO  ΔBCO\Delta BHO\ \cong\ \Delta BCO  

R: ASA

b)

S: ΔBHO  ΔBCO\Delta BHO\ \cong\ \Delta BCO  

R: SAS 

c)

S: ΔBHO ΔBCO\Delta BHO\cong\ \Delta BCO  

R: AAS

d)

S: ΔBHO  ΔBCO\Delta BHO\ \cong\ \Delta BCO  

R: SSS

e)

S: ΔBHO ΔBCO\Delta BHO\cong\ \Delta BCO  

R: HL

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.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
6.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
7.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

8.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
9.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

10.
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
11.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
12.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D