5.2.4.39 Various Problems on the Plane

Condition: B console the quadrangle \ (a b c d \) diagonals are mutually perpendicular and intersect at point \ (e \). Let \ (a^{\ prime}, b^{\ prime}, C^{\ Prime}, D^{\ Prime}- \) Symmetric \ (E \) relative to direct \ (A B, B C, C D, D A \), respectively. Prove that the quadrangle \ (a^{\ prime}, b^{\ prime}, C^{\ Prime}, D^{\ Prime}- \) inscribed.