Math Problem Solver

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 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 Midpoint Formula, the coordinates of U are (4, 0) and V are (4, 4).

Then UV = 4, and QR = 4.

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 Distance Formula, the coordinates of U are (8, 8) and V are (8, 0).

Then UV = 8, and QR = 8.

Thus UV = QR.