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Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE​

Given: AB || DE C is the midpoint of BD Prove: C is the midpoint of AE​-example-1
User Hava
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1 Answer

5 votes

Answer:

Explanation:

Given: AB║DE and C is the midpoint of BD.

To prove: C is the midpoint of A

Statements Reasons

1). AB║DE 1). Given

2). BC ≅ CD 2). Point C is the midpoint of BD

3). m∠B ≅ m∠D 3). Interior alternate angles

4). m∠ACB ≅ m∠DCE 4). Vertical angles

5). ΔABC ≅ ΔDEC 5). ASA property of congruence

6). AC ≅ EC 6). ΔABC ≅ ΔDEC

7). AC =
(1)/(2)(\text{AE}) 7). AC ≅ EC

User Sebastian Brosch
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