Triangle Congruence Theorems

Front

ASA

Back

Angle-Side-Angle congruence criterion

Front

AAS

Back

Angle-Angle-Side congruence criterion

Front

SAS

Back

Side-Angle-Side congruence criterion

Front

SSS

Back

Side-Side-Side congruence criterion

Front

HL

Back

Hypotenuse-Leg congruence criterion (right triangles)

Front

ASA condition

Back

Two angles and the included side are equal

Front

AAS condition

Back

Two angles and a non-included side are equal

Front

SAS condition

Back

Two sides and the included angle are equal

Front

SSS condition

Back

All three sides are equal

Front

HL condition

Back

Hypotenuse and one leg are equal in right triangles