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Proving Triangles Congruent
Sections
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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.
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Proving with SSS Prove triangle KLM is congruent to triangle NLM
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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.
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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.
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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.
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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.
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Prove that triangle RST is congruent to triangle VUT
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Quick reference on pg. 252 These are the only 5 ways to prove triangles are congruent There is no SSA or AAA.
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Assignment pg. 237 #1-4, 16-19 pg. 243 #3-8, 20-22
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