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Geo: 3.2/3.3 Proof Review
Contributed by: DiLaura
(Original author: Pappal)
Complete the following two column 
proofs. 

Remember, to ask yourself what you 
have been given and what you are
asked to prove. 

This will help you to determine which
theorems or postulates to use. 
Drag the correct name to the following postulates.
If corresponding angles are congruent then 
two lines are parallel. 
If two parallel lines are cut then corresponding
angles are congruent. 
Converse of Corresponding Angles Postulate
?
Corresponding Angles Postulate
?
Which is the correct reasonfor statement #2
Given: ∡1 ≅ ∡2Prove: p // r
1
2
statements
∡1 ≅ ∡2
p // r
not used =
Corresponding ∡'s Postulate
?
Converse of Corresponding ∡'s Post
?
p
r
reasons
given
1
2
Which is the correct reasonfor statement #2Given: p // rProve: ∡1 ≅ ∡2
1
2
statements
∡1 ≅ ∡2
p // r
not used =
Same-Side Interior ∡'s
?
p
Corresponding ∡'s Post
?
r
reasons
given
1
2
Multiple Choice
Given: ∡1 ≅ ∡2Prove: p || r
statements
not used:
∡1 ≅ ∡2
p || r
Alternating Exterior Angle Thm
?
Converse of Alternating Exterior Angle Thm
?
p
r
reasons
given
1
2
Multiple ChoiceGiven: p || r
Prove: ∡1 ≅ ∡2
not used:
statements
∡1 ≅ ∡2
p // r
Converse of Alternating Exterior Angle Thm
?
Alternating Exterior Angle Thm
?
p
r
reasons
given
1
2
Multiple ChoiceGiven: p // r
Prove: ∡1 ≅ ∡2
A. Alternating Interior Angle Thm
B. Alternating Exterior Angle Thm
C. Converse of Alternating Exterior Angle Thm.
statements
∡1 ≅ ∡2
p // r
p
r
reasons
given
1
2
Multiple ChoiceGiven: p || r
Prove: ∡1 + ∡2 =180
not used =
∡1 + ∡2 =180
statements
p // r
Converse of Same Side Interior ∡'s
?
p
Same Side Interior ∡'s Thm
?
r
reasons
given
1
2
Multiple Choice
Given: ∡1 + ∡2 =180Prove: p || r
not used =
∡1 + ∡2 =180
statements
p // r
Same Side Interior ∡'s Thm
?
Converse of Same Side Interior ∡'s
?
p
r
reasons
given
1
2
Which is the correct reasonfor statement #2Given: p // rProve: ∡1 ≅ ∡2
1
2
statements
∡1 ≅ ∡2
p // r
not used =
Alternate Interior ∡'s
?
p
Alternate Exterior ∡'s 
?
r
reasons
given
1
2
Which is the correct reasonfor statement #2Given: ∡1 ≅ ∡2Prove: p // r
1
2
not used =
statements
∡1 ≅ ∡2
p // r
Alternate Exterior ∡'s Thm
?
Converse of Alternate Exterior ∡'s 
?
p
r
reasons
given
1
2
Which is the correct reasonfor statement #2
Given: ∡1 ≅ ∡2Prove: p // r
1
2
statements
∡1 ≅ ∡2
p // r
not used =
Corresponding ∡'s Postulate
?
Converse of Corresponding ∡'s Post
?
p
r
reasons
given
1
2
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