SOLUTION: Given: Rectangle ABCD, E is the midpoint of line BC Prove: line AE is congruent to line DE I know this need a pic therefore I 'm going to try to describe it as best as I can al

Algebra ->  Geometry-proofs -> SOLUTION: Given: Rectangle ABCD, E is the midpoint of line BC Prove: line AE is congruent to line DE I know this need a pic therefore I 'm going to try to describe it as best as I can al      Log On


   

Question 305678: Given: Rectangle ABCD, E is the midpoint of line BC
Prove: line AE is congruent to line DE
I know this need a pic therefore I 'm going to try to describe it as best as I can alright so we have an ABCD rectangle. Start at angle A being on very top of left hand side corner, then the rest of angles BCD work it way by clockwise direction.
From angle A and D (which is on left side) there is two line that look like an A letter (except without a line in between) drawn toward the right side-known as midpoint E ( which cut line BC in half)
that basically it please help me, this is due tomorrow and I know this is a bad time but I reall ycant do the problem
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
AB congruent to CD
___ opposite sides of parallelogram congruent

BE congruent to EC
___ definition of midpoint

angle B congruent to angle C
___ definition of rectangle

triangle ABE congruent to triangle DCE
___ S-A-S

AE is congruent to DE
___CPCTC (corresponding parts of congruent triangles are congruent)



this may need a little "neatening up", but it is the core of the proof