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GEO: 3-3 QC (proving lines parallel)
供稿人: Maynard
(原作者: Pappal)
1. Which angle  corresponds to ∡7?

2

4
1
3
5
7
6
8
2. Which angle is alternate exterior with ∡8?

2

4
1
3
5
7
6
8
3. If m∡6 + m∡3 = 180 what
    can you conclude?
b
a

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4
1
3
5
7
∡3 ≅∡6
a // b 
∡3 ≅∡4
6
a   b
8
4. If ∡1 ≅∡7 what can you 
    conclude?
b
a

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4
1
3
5
7
a    b
a // b 
∡3 ≅∡6
nothing
6
8
5. If ∡4≅∡1 what can you    conclude?
b
a

2

4
1
3
5
7
a // b 
⊾nothing
∡3 ≅∡6
a    b
6
8

6. If ∡3 ≅∡5 then I can conclude a // b by 

    which theorem?

a
b
Converse of the Corresponding ∡ Post.
Converse of the AIA Theorem
Converse of the AEA Theorem

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4
1
3
5
7
6
8

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

    which theorem?

a
b
SSI Theorem
Converse of the SSI Theorem
Converse of the AIA Theorem

2

4
1
3
5
7
6
8

8. If m∡2 =m∡5 then I can conclude a // b by 

    which theorem?

a
b
Corresponding Postulate
Converse of the Corresponding ∡ Post.
Converse of the AEA Theorem

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4
1
3
5
7
6
8
9. If a // b, then ∡3 and ∡5 are:
a
b

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4
1
3
5
7
Complementary

Congruent

Straight

Supplementary

6
8
10. If a // b, then ∡4 and ∡5 are:
a
b

2

4
1
3
5
7
Complementary

Congruent

Straight

Supplementary

6
8

11. If ∡2 ≅∡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
t

2

4
1
3
5
7
6
8

12. If ∡5 ≅∡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

2

4
1
3
5
7
6
8
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