EQUAL TRIANGLES

Equal Triangles

• Definition: Triangles that have the same size and shape, where all corresponding sides and angles are equal.

• Criteria:

  • SSS (Side-Side-Side) Criterion: All three pairs of corresponding sides are equal.

  • SAS (Side-Angle-Side) Criterion: Two pairs of sides and the angle between them are equal. .

  • AAS (Angle-Angle-Side) Criterion: Two pairs of angles and a non-included side are equal.

• Properties: Equal triangles can be superimposed on each other, and their corresponding angles are congruent while their sides are proportional.

• If the lengths of the sides of two triangles are the same ,then their angles are also the same

• the lengths of the sides of two triangles are the same ,then the angles opposite to side of equal length are also equal.