Question

The distance formula can be used to prove that a quadrilateral has

Answer 1

Different side lengths, same side lengths, sets of 2 pairs of side lengths(parallelogram)

I hope this is what u r looking for!

Answer 2

The distance formula can be used to prove that a quadrilateral has congruent sides.

Explanation:

If a line segment passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the distance between these two points is

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

It means the distance formula is used to find the length of a line segment.

Using distance formula we can find the length of each side of a quadrilateral and we can prove that whether a quadrilateral has congruent sides or not.

Therefore the distance formula can be used to prove that a quadrilateral has congruent sides.