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To be or not to be congruent That is the question? SSS – Side Side Side ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse - Leg SSS If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent. ASA If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. SAS If two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. AAS If two angles and a non included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the two triangles are congruent. Hyp-S If the hypotenuse and the leg of one right triangle are congruent to the corresponding parts of the second right triangle, the two triangles are congruent SSA – Side Side Angle AAA – Angle Angle Angle SSA Two triangles with two sides and a nonincluded angle equal may or may not be congruent. AAA If two angles on one triangle are equal, respectively, to two angles on another triangle, then the triangles are similar, but not necessarily congruent. SSS – Side Side Side ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse – Leg Not These SSA – Side Side Angle AAA – Angle Angle Angle