Quadrilateral ABCD has vertices A(1, -3) , B(2, 1), C(6, 3), and D(7, -1). Prove or disprove that the Quad ABCD is a rectangle.

Question

I NEED TO PROVE OR DISPROVE THE QUAD ABCD TO THIS QUESTION I NEED HELP ON IT BECAUSE I DO NOT KNOW HOW TO SOLVE THIS QUESTION PLEASE CAN U HELP ME WITH THIS PROBLEM IM REALLY STRUGGLING

Answer 1

First step would be to plot the points and draw the quadrilateral.  Hopefully you've already done that.  In order to prove it was a rectangle, you would need to show that opposite sides are equal and that at least one angle is 90 degrees, because then it would follow that the others are all 90 degrees.  Start with length and you'll quickly observe that AD and BC have different lengths.  Therefore, ABCD isn't even a parallelogram, let alone a rectangle.