In Quadrilateral MATH shown below, Alice is trying to prove that the quadrilateral is a parallelogram.
She first used the slope formula to prove that segment MA is parallel to segment TH. Which of the following steps could Alice use to prove that Quadrilateral MATH is a parallelogram? I. Use the distance formula to show that segment MH is congruent to segment AT. II. Use the slope formula to show that segment MH is parallel to segment AT. III. Use the distance formula to show that segment MA is congruent to segment TH.
A. I only
B. I and II only
C. II and III only
D. III only