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Corresponding Angles Theorem

Corresponding Angles Theorem

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 Theorem states:


“If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.”

In simpler terms:

  • When a transversal crosses two parallel lines,

  • The angles that are in the same relative position at each intersection point

  • Are equal in measure.

Example:

If line l is parallel to line m, and transversal t crosses them, then:


  • The angle above line l and to the right of the transversal

  • Is congruent to the angle above line m and to the right of the transversal


These are corresponding angles, and by the theorem, they are congruent.


Two parallel lines, labeled l and m, cut by a transversal labeled t. Two 60 degree angles are labeled. One angle is in the top right area of the top section, and the other angle is in the top right area of the bottom section.

Video


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