# complete the proof? it is really hard?

Converse of the Perpendicular Bisector Theorem: Any point equidistant from the endpoints of the segment lies on the perpendicular bisector of the segment.

Given: AD = BD

AE = BE

Prove: DE is the perpendicular bisector of AB

Statements

1. AD = BD

AE = BE

2. DE = DE

3. triangle ADE @ triangle BDE

4. Angle AED is congruent to Angle BED

5. CE is congruent to CE

6. AEC is cong. to BEC

7. Angle ACE is cong. to BCE

8. Angle ACE and Angle BCE linear pair

9. Angle ACE plus Angle BCE =180

10. AB is perp. to DE Angle ACE =90 Angle BCE = 90

11.AC is cong. to BC

12. Angle ACE and BCE right angles

13. AB is perp. to DE

14. C is the midpoint of AB

15. DE is perp. bisector

I need all the reasons

### 1 Answer

Relevance

- Anonymous1 decade agoFavorite Answer
You have to show us the diagram first...be fair!

Still have questions? Get your answers by asking now.