2. Definition of congruent segments AB = CD 2.

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Presentation transcript:

2. Definition of congruent segments AB = CD 2. Use the Segment Addition Postulate Proof: Statements Reasons 1. 1. Given AB  CD ___ 2. Definition of congruent segments AB = CD 2. 3. Reflexive Property of Equality BC = BC 3. 4. Segment Addition Postulate AB + BC = AC 4. Example 1

5. Substitution Property of Equality 5. CD + BC = AC Use the Segment Addition Postulate Proof: Statements Reasons 5. Substitution Property of Equality 5. CD + BC = AC 6. Segment Addition Postulate CD + BC = BD 6. 7. Transitive Property of Equality AC = BD 7. 8. Definition of congruent segments 8. AC  BD ___ Example 1