Thread: Help with a proof

Could I please get some help with the following?
Given a quadrilateral with points labeled sequentially A B C D with a line segment AC and a line sement BD in the interior noted at intersection by point E with the following givens: segment BC = segment CD and segment AB = segment AD


Prove that AC is perpendicular to BD I'm stuck!
thanks SO much for any help or hints

Hello, murphmath!

Given a quadrilateral with diagonals and intersecting at point ,
with the following givens: and

Prove that is perpendicular to

We have a kite-shaped figure . . .

Code:

            A
            *
          * | *
        *   |   *
    D * - - + - - * B
       *    |E   *
        *   |   *
         *  |  *
          * | *
           *|*
            *
            C

We are given: .

Point is equidistant from and
Point is equidistant from and

Hence, is the perpendicular bisector of

. . Therefore: .