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Chapter 2.7

Chapter 2.7. Proving Segment Relationships. Concept. Concept. Proof:. Statements Reasons. Example 1. Use the Segment Addition Postulate. Prove the following. Given: AC = AB AB = BX CY = XD Prove: AY = BD. Example 1. Which reason correctly completes the proof?. Proof:.

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Chapter 2.7

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  1. Chapter 2.7 Proving Segment Relationships

  2. Concept

  3. Concept

  4. Proof: Statements Reasons Example 1 Use the Segment Addition Postulate

  5. Prove the following. Given:AC = ABAB = BXCY = XD Prove:AY = BD Example 1

  6. Which reason 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 Example 1

  7. Concept

  8. BADGE Jade is designing a badge for her club. The length of the top edge of the badge is equal to the length of the left edge of the badge. The top edge of the badge is congruent to the right edge of the badge, and the right edge of the badge is congruent to the bottom edge of the badge. Prove that the bottom edge of the badge is congruent to the left edge of the badge. Given: Prove: Example 2 Proof Using Segment Congruence

  9. Prove the following. Given: Prove: Example 2

  10. 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. Example 2

  11. Try it! • Pg. 147 #1and 2

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