Statements Reasons

AD

Given:

BE

DC EC

Prove: AB DE

BE

EC

1. given

1 62

+1 = 3€ +1

DE = BE +

2.

2. addition property

A

3.

AD

DC

+

3. property of proportion

3

С

EC

EC

BE+EC

EC

2.

4.

AD + DC

DC

4. addition of fractions

E

B

5. AC = AD + DC;

BC = BE + EC

5. segment addition

postulate

Complete the steps of the proof.

6. AC = BC

6. substitution property

7. 2323

7. reflexive property

8. ABC ~ ADEC

8.

9.21 22

9.