Question

If the diagonals of a quadrilateral bisect each other
at right angle and A = 90°, prove that ABCD is a
square.​

Answer 1

Answer:

if the diagonal of the quadrilateral bisect each other that means it is a parallelogram and the property of the parallelogram is that two opposite sides are 90 degree therefore angle A equal to 90 degree that mean angle C is also equal to 90 degree now the rest two angles we will take as x now 90 + 90 + X + x is equal to 36180 + 2 x is equal to 362 x is equal to 180 x is equal to 90 therefore all angles are 90 the quadrilateral is now square and craft