Geo 2.6- Proving Parallel Lines
Given the information above can you conclude that r // s ? 
If so, why?

62o

Yes, r // s by the Converse of AIA Theorem
Yes, r // s by the Converse of AEA Theorem
Yes, r // s by the AEA Theorem
No, not enough info to prove r // s
t
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62o
r
s
Given the information above can you conclude that r // s ? 
If so, why?
132o
Yes, r // s by the Converse of SSIA Theorem
Yes, r // s by the Converse of AIA Theorem
Yes, r // s by the SSIA Theorem
Not parallel because not supplementary angles.
t

2

1
58o
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8
r
s
Given the information above can you conclude that a // b? If so, why?
b
a
124o
Yes, a // b by the Converse of AIA Theorem
Yes, a // b by the Converse of AEA Theorem
Yes, a // b by the AIA Theorem
No, not enough info to prove a // b

2

c
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7
124o
8
If ∡1 ≅⊾7 what can you conclude?
b
a

2

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a    b
a // b 
⊾3 ≅⊾6
nothing
8
Given the information above can you conclude that a // b? If so, why?
Given  m∡4 ≅ m∡1 
b
a
a // b by the Converse of AIA Theorem
a // b by the Vertical Angle Theorem
a // b by the AIA Theorem
No, not enough info to prove a // b

2

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c

If m∡3 + m∡6 = 180 then I can conclude a // b by 

which theorem?

a
b
Converse of the Corresponding ⊾ Post.
Converse of the Same Side Interior Angle Theorem
Converse of the AEA Theorem
Converse of the AIA Theorem

2

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8

If m∡3 + m⊾6 = 200, what can be concluded? By what theorem?

a
b
a // b, by the SSIA Theorem
a // b, by the Converse of the SSIA Theorem
a // b, by the Converse of the AIA Theorem
lines a and b are not parallel

2

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Given the information pictured above and the fact that x = 14, can you prove that line a // b? If so, by what theorem?
a
b
No, a is not parallel to b.
Yes, both angles = 44o by the Converse AIA Thm a//b.
Yes, both angles = 40o by the Converse AEA Thm a//b.
Yes, both angles = 40o by the AEA Thm a//b. 

(4x -16)o

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(3x - 2)o
If a // b then ∡3 and ∡5 are:
a
b

2

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Complementary

Congruent

Straight

Supplementary

6
8
If a // b then ∡4 and ∡5 are:
a
b

2

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3
5
7
Complementary

Congruent

Straight

Supplementary

6
8

If m∡2 ≅m∡5 then what can I conclude about line

a and b?

a
Not enough info to determine anything
They are congruent
They are parallel
b
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8

If m∡5 ≅m∡4 then what can I conclude about line

a and b?

a
Not enough info to determine anything
They are congruent
They are parallel
b
t

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4
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8
Given the information pictured above and the fact that x = 11, can you prove that line a // b? If so, by what theorem?
a
b
No, a is not parallel to b.
Yes, both angles are ≅, by the Converse AIA Thm a//b.
Yes, both angles are NOT ≅, by the Converse AEA Thm a//b.
Yes, angles are supplementary, by the Converse SSIA a//b. 

(6x + 9)o

(9x + 6)o
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