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Corresponding Angles Converse

Corresponding Angles Converse

One-page printable reference

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 Corresponding Angles Converse states:


“If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.”

In other words:

  • If a transversal crosses two lines,

  • And the corresponding angles are equal in measure,

  • Then the two lines must be parallel.

Why it's useful:

This converse allows you to prove that two lines are parallel based on angle relationships. It’s often used in geometric proofs and reasoning.

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