Question

Which reason validates the statement: "The diagonals of a rectangle are congruent"

A. Distance formula to prove AD and BC are congruent.
B. Distance formula to prove AB and CD are congruent.
C. Slope formula proving A,B,C,D are all right angles.
D. Distance formula to prove AC and BD are congruent.

Answer 1

A. Distance formula to prove AD and BC are congruent

Explanation:

It is A becuase you are looking for the diagonals and the only diagonal is AD and BC

Answer 2

D. Distance formula to prove AC and BD are congruent.

Explanation:

A rectangle is a parallelogram with 4 right angles. Now, since a rectangle is a parallelogram, its opposite sides must be congruent and it must satisfy all other properties of parallelograms

The diagonals of a rectangle are congruent if AC = DB

So the correct option is option D.