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Alternate Exterior Angles Converse
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
The Alternate Exterior Angles Converse is a converse of the Alternate Exterior Angles Theorem. It states:
“If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.”
In other words:
If you are given that two alternate exterior angles are equal in measure,
Then you can conclude that the two lines are parallel.
Why it matters:
This converse is often used in proofs to show that lines must be parallel based on angle relationships.
Video
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