1. side-side-side (SSS) postulate If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

2. side-angle-side (SAS) postulate If two sides of one triangle are congruent to two sides of another triangle and the angles included between the congruent sides are congruent, then the triangles are congruent.

3. angle-side-angle (ASA) postulate If two angles of one triangle are congruent to two angles of another triangle and the side included between the congruent angles are congruent, then the triangles are congruent.

4. angle-angle-side (AAS) theorem If two angles of one triangle are congruent to two angles of another triangle and a corresponding non-included side are congruent, then the triangles are congruent.

5. hypotenuse-leg (HL) theorem If the hypotenuse of one right triangle is congruent to the hypotenuse of another right triangle and a corresponding leg of each triangle are congruent, then the triangles are congruent.

6. Which of the following triangles would be congruent and why?  ABC with AB=10, BC=12 and m  C=40 .  XYZ with m  Z=40  and XY=10, YZ=12.  ABC with AB=14, BC=15 and AC=16.  XYZ with YZ=16, XZ =17 and XY=15.  ABC with m  A=35 , m  B=45  and AB=8.  XYZ with XY=8, m  Z=30  and m  Y=50 .  ABC with AB=9, m  A=35  and m  B=40 .  XYZ with m  X=35 , m  Y=40  and XY=9.  ABC with AB=22 and BC=7.  XYZ with XY=22 and YZ=7.