Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m  R = m  S, then m  R + m  T = m 

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Presentation transcript:

Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m  R = m  S, then m  R + m  T = m  S + m  T. 3.m  Z = m  Z. 4.If BC = CD and CD = EF, then BC = EF. 5.Which property justifies the statement: If 90 = m  I, then m  I = 90?

Lesson 7 MI/Vocab Write proofs involving segment addition. Write proofs involving segment congruence.

Lesson 7 PS1

Lesson 7 PS2

Lesson 7 Ex1 Proof with Segment Addition 1. Given PR = QS Subtraction Property PR – QR = QS – QR Segment Addition Postulate PR – QR = PQ; QS – QR = RS Substitution PQ = RS 4. Proof: Statements Reasons Prove the following. Given: PR = QS Prove: PQ = RS

Lesson 7 CYP1 Prove the following. Given:AC = AB AB = BX CY = XD Prove:AY = BD

Lesson 7 CYP1 1. Given AC = AB, AB = BX Transitive Property AC = BX Given CY = XD Addition PropertyAC + CY = BX + XD4. AY = BD 6. Substitution6. Proof: Statements Reasons Which choice correctly completes the proof? 5. ________________ AC + CY = AY; BX + XD = BD 5. ?

A.A B.B C.C D.D Lesson 7 CYP1 A.Addition Property B.Substitution C.Definition of congruent symbols D.Segment Addition Postulate

Lesson 7 TH1

Lesson 7 Ex2 Proof with Segment Congruence Prove the following. Given: Prove:

Lesson 7 Ex2 Proof with Segment Congruence 5. Symmetric Property 5. Proof: Statements Reasons 1. Given Definition of congruent segments Given Transitive Property 4.

Lesson 7 CYP2 Prove the following. Given: Prove:

Lesson 7 CYP2 Which choice correctly completes the proof? Proof: Statements Reasons 1. Given Transitive Property Given Transitive Property _______________ 5. ?

Lesson 7 CYP2 1.A 2.B 3.C 4.D A.Substitution B.Symmetric Property C.Segment Addition Postulate D.Reflexive Property