SOLUTION: How do you prove that AKCE is a parallelogram when the given is, parallelogram ABCD, E&K on diagnal BD, and DE=BK?

Question 416260: How do you prove that AKCE is a parallelogram when the given is, parallelogram ABCD, E&K on diagnal BD, and DE=BK?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A quadrilateral is a parallelogram if and if the bisect each other.
You will have to apply here.
Consider the two triangles made by the diagonal;they are congruent by congruency since two sides which were bisected were equal and the interior opposite angles made by the diagonals.
Now proving the set of opposite you will get

which is to prove that the is a .

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