SOLUTION: E is the midpoint of line segment AC and BD; line segment ED is congruent to line segment EC. Prove line segment AE is congruent to line segment BE

Algebra ->  Geometry-proofs -> SOLUTION: E is the midpoint of line segment AC and BD; line segment ED is congruent to line segment EC. Prove line segment AE is congruent to line segment BE      Log On


   

Question 1097857: E is the midpoint of line segment AC and BD; line segment ED is congruent to line segment EC.
Prove line segment AE is congruent to line segment BE
Answer by Jeetbhatt10th(11) About Me  (Show Source):
You can put this solution on YOUR website!
/D
A_____E/_____C
/
/B
Since,ED =EC,
And Even is mod point of both BD AND CA
THUS,AE=EC and BE=ED
BUT EC=ED therefore we get that AE=ED,
But ED=BE,
=>AE=BE
Hence,AE is congruent to BE (Proved)