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Proving Triangles Congruent

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Presentation on theme: "Proving Triangles Congruent"— Presentation transcript:

1 Proving Triangles Congruent
Sections

2 Side-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.

3 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.

4 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.

5 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.

6 Angle-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.

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

8 Proving with SSS Prove triangle KLM is congruent to triangle NLM

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11 Prove that triangle RST is congruent to triangle VUT

12 Assignment pg. 237 #1-4, 16-19 pg. 243 #3-8, 20-22


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