Question

why would you use the distance formula to prove a quadrilateral?

Answer 1

To show that a quadrilateral is a parallelogram in the x-y plane, you will need to use a combination of the slope formulas, the distance formula and the midpoint formula. To use the Opposite Sides Converse, you would have to find the length (using the distance formula) of each side to see if the opposite sides are congruent.

Answer 2

You can also show that one pair of opposite sides has the same slope (slope formula) and the same length (distance formula).