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.

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

Step-by-step 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.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get