Question

If in a rectangle, the diagonals are perpendicular, will it be a square? Give reasons.​

Answer 1

Answer:

Step-by-step explanation:

(1) ABCD is a square      //Given

(2) AB=BC                       //Definition of a square

(3) ΔABC is isosceles       //(2), Definition of an isosceles triangle

(4) AO=OC                     //A square is a parallelogram, diagonals of a parallelogram bisect each other.

(5) AC⊥BD                     //In an isosceles triangle the median to the base is perpendicular to the base.