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1. If BAE ?, then segments AB and ED would be parallel.

A

DB

FE

DEF Corresponding Angles Converse Postulate

2. If m3 = m10, which two lines (if any) must be parallel?

l

m

a b 2 31 4

9 1011 12

5 67 8

13 1415 16

a ll b

Corresponding Angles Converse Postulate

3. If m8 = m12, which two lines (if any) must be parallel?

l

m

1 2 3 4

9 10 11 12

5 6 7 8

m ll n

Corresponding Angles Converse Postulate

k

n

4. If m1 = m9, which two lines (if any) must be parallel?

l

m

1 2 3 4

9 10 11 12

5 6 7 8

k ll n

Corresponding Angles Converse Postulate

k

n

5. If m3 = m7, which two lines (if any) must be parallel?

l

m

1 2 3 4

9 10 11 12

5 6 7 8

k llm

Corresponding Angles Converse Postulate

k

n

6. If BAE DEF , then which segments must be parallel.

A

DB

FE

Corresponding Angles Converse PostulateAB ll DE

7. If DEF ?, then segments BD and AF would be parallel.

A

DB

FE

BDE Alternate Interior Angles Converse Theorem

8. If DBE ?, then segments BD and AF would be parallel.

A

DB

FE

BEA Alternate Interior Angles Converse Theorem

9. If m1 = m4, which two lines (if any) must be parallel?j

m 1 4

n llm

Alternate Interior Angles Converse Theorem

kn

2 3

10. If m11 = m3, which two lines (if any) must be parallel?

l

m

a b 2 31 4

9 1011 12

5 67 8

13 1415 16

a ll b

Alternate Interior Angles Converse Theorem

11. If m4 = m9, which two lines (if any) must be parallel?

l

m

1 2 3 4

9 10 11 12

5 6 7 8

k ll n

k

nAlternate Interior Angles Converse Theorem

12. If BDE DEF , then which segments must be parallel.

A

DB

FE

BD ll AF Alternate Interior Angles Converse Theorem

13. If m1 + m 2 = m 3 + m4, which two lines (if any) must be parallel?R

1 2

3 4

Alternate Interior Angles Converse Theorem

SX

TY

Q

RS ll TQ

14. If DEA ?, then segments DE and FB would be parallel.

A

CD

B

E

CFB Alternate Exterior Angles Converse Theorem

F

1

2

15. If WAZ ?, then segments AZ and XB would be parallel.

A

ZW

YX

XBY Alternate Exterior Angles Converse Theorem

B

16. If m5 = m12, which two lines (if any) must be parallel?

l

m

a b 2 31 4

9 1011 12

5 67 8

13 1415 16

none

17. If m10 = m1, which two lines (if any) must be parallel?

l

m

a b 2 31 4

9 1011 12

5 67 8

13 1415 16

a ll b

Alternate Exterior Angles Converse Theorem

18. If 12 and 14 are supplementary, which two lines (if any) must be parallel?

l

m

a b 2 31 4

9 1011 12

5 67 8

13 1415 16

Consecutive interior Angles Converse Theorem

l llm

19. If m8 + m10 = 180, which two lines (if any) must be parallel?

l

m

1 2 3 4

9 10 11 12

5 6 7 8

m ll n

Consecutive Interior Angles Converse Theorem

k

n

20. If mABD + mBDE = 180 , then which segments must be parallel.

A

DB

FE

Consecutive Interior Angles Converse TheoremAB ll DE