Question

In a quadrilateral ABCD, the diagonals bisect each other at point T. Based on the given information which statement is presented first to show that side AB is equal to side BC?
A: Angle ADT is congruent to Angle ATB.

B: Angle ATB is congruent to Angle CTB.

C: Side BC is equal to the diagonal AC of the quadrilateral.

D: Side AB is equal to the diagonal DB of the quadrilateral.

Answer 1

The correct option from given options is; "B", "Angle ATB is congruent to Angle CTB".
In a quadrilateral ABCD, the diagonals bisect each other at point T, it means that the angle ATB correspond to the side AB and the angle CTB correspond the side BC,it means that the angle ATB is congruent angle to CTB  and from this it result that the side AB is congruent side BC.