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Lesson 7 Menu

Warm-up Problems State the property that justifies each statement. 2( LM + NO ) = 2 LM + 2 NO . If m  R = m  S , then m  R + m  T = m  S + m  T . m  Z = m  Z . If BC = CD and CD = EF , then BC = EF .

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Lesson 7 Menu

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

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

  3. Lesson 7 PS1

  4. Lesson 7 PS2

  5. Prove the following. Given:PR = QS Prove:PQ = RS Proof: Statements Reasons 1. 1. Given PR = QS 2. 2. Subtraction Property PR – QR = QS – QR 3. 3. Segment Addition Postulate PR – QR = PQ; QS – QR = RS 4. 4. Substitution PQ = RS Proof with Segment Addition Lesson 7 Ex1

  6. Prove the following. Given: AC = ABAB = BXCY = XD Prove: AY = BD Lesson 7 CYP1

  7. Which choice correctly completes the proof? Proof: Statements Reasons 1. 1. Given AC = AB, AB = BX 2. 2. Transitive Property AC = BX CY = XD 3. 3. Given 4. AC + CY = BX + XD 4. Addition Property 5. 5. ________________ ? AC + CY = AY; BX + XD = BD 6. 6. Substitution AY = BD Lesson 7 CYP1

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

  9. Lesson 7 TH1

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

  11. Proof: Statements Reasons 1. Given 1. 2. Definition of congruent segments 2. 3. 3. Given 4. Transitive Property 4. 5. Symmetric Property 5. Proof with Segment Congruence Lesson 7 Ex2

  12. Prove the following. Given: Prove: Lesson 7 CYP2

  13. Which choice correctly completes the proof? Proof: Statements Reasons 1. Given 1. 2. Transitive Property 2. 3. 3. Given 4. Transitive Property 4. ? 5. _______________ 5. Lesson 7 CYP2

  14. A. Substitution B. Symmetric Property C. Segment Addition Postulate D. Reflexive Property • A • B • C • D Lesson 7 CYP2

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