An open box with a square base is to be made from a square piece of cardboard measuring 12 cm on each side. A square will be cut out from each corner and the sides will be turned up to create an open box. Find the dimensions of the final box with the maximum volume.

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent? a. use the slope formula to prove the slopes of the opposite sides are the same. b. use the slope formula to prove the slopes of the opposite sides are opposite reciprocals. c. use the distance formula to prove the lengths of the opposite sides are the same. d. use the distance formula to prove the midpoints of the opposite sides are the same.