Geometry · Parallel Lines & Angle Pairs

Alternate Interior Angles

HSG-CO.C.9

Definition

Congruent angles between two parallel lines on opposite sides of the transversal.

Examples

  • 65 = 65 degrees for a pair of alternate interior angles on parallel lines.
  • Alternate interior angles form a 'Z' pattern between the two lines.

Key rule

Alternate interior angles are congruent only when the lines are parallel.

Memory hook

Inside the lines, opposite sides — the 'Z' pattern.