Kim-Ly is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. She starts by assigning coordinates to the vertices of quadrilateral RSTVquadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D.
Enter the answers, in simplified form, in the boxes to complete the proof.
The coordinates of point A are (a, b) .
The coordinates of point B are (a + c, b + d).
The coordinates of point C are ( , d). <-- answer
The coordinates of point D are ( , ). <--- answer
The slope of both AB¯¯¯¯¯and DC¯¯¯¯¯ is (________) . <-- answer
The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is (________). <--- answer
Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.