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Proving Segment Relationships

Proving Segment Relationships. Write proofs involving segment addition. Write proofs involving segment congruence. Standard 4.0 Students prove basic theorems involving congruence and similarity. (Key). Lesson 7 MI/Vocab. AC. A. B. C. 5. 8. AB. BC. Segment Addition Postulate.

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Proving Segment Relationships

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  1. Proving Segment Relationships

  2. Write proofs involving segment addition. • Write proofs involving segment congruence. Standard 4.0Students prove basic theorems involving congruenceand similarity. (Key) Lesson 7 MI/Vocab

  3. AC A B C 5 8 AB BC Segment Addition Postulate • If B is b/t A and C, then AB + BC = AC. • If AB + BC = AC, then B is b/t A and C. 13 If AB = 5 and BC = 8, then AC = 5 + 8 = 13.

  4. A B C Segment Addition Postulate AB + BC = AC (3x + 2) + (5x – 3) = 15 8x –1 = 15 8x = 16 x = 2 If AB = 3x + 2 BC = 5x – 3 AC = 15 Solve for x.

  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 Segment Addition Lesson 7 CYP1

  8. Lesson 7 TH1

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

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

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

  12. 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. Symmetric Property Lesson 7 CYP2

  13. Homework Chapter 2-7 • Pg 121 1 – 3, 16, 19 – 29

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