Converse Transversals

Line m is parallel to line n, because corresponding.

Line m is parallel to line n, because alternate exterior.

line a is parallel to line b, because alternate interior.

line a is parallel to line b, because corresponding.

Then, line l and line m are parallel, because alternate exterior angles.

Then, line n and line m are parallel, because alternate interior angles.

Then, Then, line l and line m are parallel, because consecutive angles.

Cannot deduce anything from this information.

Converse of Alternate Interior Angles Theorem

Converse of Same-Side Interior Angles Theorem

Converse of Corresponding Angles Postulate

Cannot be proved parallel

No

Yes, Corresponding angles are congruent

Yes, Alternate Interior angles are congruent

Yes, Alternate Exterior angles are congruent

180^o

90^o

67^o

113^o

20

22

24

25

60

26

14

10

y = 20

y = 120

y = 60

y = 10

50

130

20

135

31

145