Consider two quadrilaterals ABCD and A′B′C′D′ in an affine Euclidian plane such that AB=A′B′,BC=B′C′,CD=C′D′, and DA=D′A′. Prove that the following two statements are true:(a) If the diagonals BD and AC are mutually perpendicular, then the diagonals B′D′ and A′C′ are also mutually perpendicular.(b) If the perpendicular bisector of BD intersects AC at M, and that of B′D′ intersects A′C′ at M′, then MCMA=M′C′M′A′ (if MC=0 then M′C′=0). geometryperpendicular bisectorgeometry proposed