Geometry · Triangles & Congruence

ASA Congruence

HSG-SRT.B.5

Definition

Triangles are congruent if two angles and the side between them are equal.

Examples

  • Two angles and the included side matching proves triangles congruent by ASA.
  • Triangles with 40 and 60 degree angles and a matching included side are congruent by ASA.

Key rule

The side in ASA must be the included side — the one between the two given angles.

Memory hook

Angle, Side, Angle — the side must be sandwiched between the angles.