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**Bellringer If P is the centroid, solve for x, y and z if CD =24. A x D**

10 2x-4 P B C F

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**Proving Congruence – ASA, AAS**

Chapter 5.3

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ASA Postulate

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Use ASA in proofs Statements Reasons

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AAS Theorem

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

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Use AAS in proofs Given: Prove: Statements Reasons

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HL Postulate

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HL Example Statements Reasons Angle RVS is right

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Example Statements Reasons

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**Example Given: Prove: Statements Reasons Given: QP is parallel to SR**

Prove: QR is congruent to PS

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CPTCP

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Classwork/Homework Pg 253 #1-26

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Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.

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