Chapter 7: Triangles

Congruence of Triangles

Definition

Two figures are congruent if they have same shape and size.


Congruence Criteria (CPCT)

CriteriaMeaning
SASTwo sides and included angle
ASATwo angles and included side
AASTwo angles and any side
SSSAll three sides
RHSRight angle, hypotenuse, one side

Writing Congruence

If ABCDEF\triangle ABC \cong \triangle DEF:

  • Corresponding angles are equal
  • Corresponding sides are equal