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Corresponding Angles (Parallel Lines)

Corresponding Angles (Parallel Lines)

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

Corresponding angles are pairs of angles that:

  • Are on the same side of the transversal

  • Are in the same relative position at each intersection

When do they occur?

When a transversal cuts through two lines, corresponding angles form at each point where the transversal crosses a line.

Key fact:

If the two lines are parallel, then the corresponding angles are congruent (equal in measure).

Example:

If transversal t crosses lines l and m, then:


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

  • Corresponds to the angle above line m and to the right of the transversal


These two angles are a pair of corresponding angles.

Geometry diagram of two parallel horizontal lines m and l cut by a slanted transversal t, with two blue 60° angles marked. One angle is in the top right of the top section, and the other angle is in the top right of the bottom section.

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