Given that rectangle pqrs with coordinates p(0,0), q(8,0), r(8,4), s(0,4), u is the midpoint of pq, and v is the midpoint of rs,
which of the following proves that uv=qr?

by the distance formula, the coordinates of u are (8, 8) and v are (8, 0).
then uv = 8, and qr = 8.
thus uv = qr.

by the midpoint formula, the coordinates of u are (4, 4) and v are (4, 0).
then uv = 4, and qr = 8.
thus uv = qr.

by the distance formula, the coordinates of u are (8, 0) and v are (8, 8).
then uv = 16, and qr = 16.
thus uv = qr.

by the midpoint formula, the coordinates of u are (4, 0) and v are (4, 4).
then uv = 4, and qr = 4.
thus uv = qr.