Hello, murphmath!

We have a kite-shaped figure . . .Given a quadrilateral with diagonals and intersecting at point ,

with the following givens: and

Prove that is perpendicular toCode: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: .