How to figure out the if its a rectangle using the given vertices, using the distance formula

Question

Determine whether BGHL is a rectangle given each set of vertices:

 

 B(-4,3) G(-2,4) H(1,-2) L(-1,-3)

Answer 1

There are two pairs of congruent sides on a rectangle, and the diagonals are congruent as well. Using the distance formula on each of the 6 combinations of points, you should get three pairs of equal distances. That would prove that it must be a rectangle.

 

Does that make sense?