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maths geometry

Please help maths geometry-example-1

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Step-by-step explanation:

The way you have marked the diagram, it is convenient to use the AAS congruence postulate.

Statement . . . . Reason

1. AB║DE, DC=CB . . . . given

2. ∠1≅∠2 . . . . vertical angles are congruent

3. ∠CAB≅∠CED . . . . alternate interior angles theorem

4. ΔACB ≅ ΔECD . . . . AAS congruence postulate

5. AC≅CE, AB≅DE . . . . CPCTC

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