top of page
Alternate Interior 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 Interior Angles Converse states:
“If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.”
In other words:
If two alternate interior angles are equal in measure,
Then the two lines being crossed by the transversal are parallel.
Why it's important:
This converse is commonly used in geometric proofs to prove that two lines are parallel based on angle relationships.
Video
bottom of page