2.5 Proving Statements about Segments
Using Segment Relationships Example 3 In the diagram, AC CE and AB = DE. Show that C is the midpoint of BD. Solution Given: Prove: Statements 1. AC = CE 2. AB + BC 4. CD + DE — 6. AB DE 7. AB + BC = AC CE CD + AB Reasons 3. Transitive Property of Equality 5. Transitive Property of Equality 8. Subtraction Property of Equality 9. Definition of ... ................
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