How would I calculate if these lines on a number grid make a square? I just need the process, and I can figure out the answer to this on my own, but I wanted to do it right so I can learn something from it. I can't provide an actual picture, so here are the coordinates:

A= (-4), 6
B= -12, 12
C= 6, 18
D= 13, (-1)

Any help would be very appreciated. :)

2 answers

a square is a quadrilateral with opposite sides equal and parallel
... additionally, adjacent sides are perpendicular

AB, BC, CD, DA are the sides
... use the distance formula to find the lengths
... use the slope formula to find the slopes
... parallel lines have the same slope
... slopes of perpendicular lines are negative reciprocals of each other
Thank you R_scott