# Illustrating the SAS, ASA and SSS Congruence Postulates

ASA (Angle-Side-Angle) Congruence Postulate

If the two angles and the included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the

triangles are congruent.

SAS (Side-Angle-Side) Congruence Postulate

If the two sides and an included angle of one triangle are congruent to

the corresponding two sides and the included angle of another triangle, then

the triangles are congruent

SSS (Side-Side-Side) Congruence Postulate

If the three sides of one triangle are congruent to the corresponding three sides

of another triangle, then the triangles are congruent.

1. ASA – two triangles are congruent

2. ASA – two triangles are congruent

3. not congruent – both sides are not congruent

4. ASA – two triangles are congruent

5. SAS – two triangles are congruent

6. ASA – two triangles where we know two angles and the included side are equal.

7. SAS – Two angles and the side between them are congruent.

8. SSS – three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

9. SAS – Two angles and the side between them are congruent.

10. ASA – two triangles where we know two angles and the included side are equal

Image: Pexels