PROVING TRIANGLES CONGRUENT Sections 4 3 4 5

PROVING TRIANGLES CONGRUENT Sections 4. 3 -4. 5

Side-side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

Side-Angle-Side (SAS) Congruence Theorem If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

Hypotenuse-Leg (HL) Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.

Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

Angle-Side (AAS) Congruence Theorem If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Quick reference on pg. 252 These are the only 5 ways to prove triangles are congruent � There is no SSA or AAA.

Proving with SSS Prove triangle KLM is congruent to triangle NLM

Prove that triangle RST is congruent to triangle VUT

Assignment pg. 237 #1 -4, 16 -19 pg. 243 #3 -8, 20 -22 pg. 252 #7 -10, 18 -20