Although in two congruent triangles each side of one must be equal in size to each corresponding side of the other, and each angle of one must be equal in measure to its corresponding angle, it is not necessary to prove that in order to prove two triangles congruent. Several postulates follow that name minimum conditions for two triangles to be congruent:

**Side-Side-Side (SSS) Postulate**

If each side of one triangle is congruent to the corresponding side of the second triangle, then the two triangles are congruent.

**Side-Angle-Side (SAS) Postulate**

If two sides of one triangle and the angle between them are congruent to the corresponding parts of a second triangle, then the two triangles are congruent.

Can we say these two triangles are congruent and which shortcut are you using?

Can we say these two triangles are congruent and which shortcut are you using?