Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other. Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is .:–1
The slope of diagonal QR is .:1
The midpoint of PS is .:(2, 2)
The midpoint of QR is .:(2, 2)
The diagonals of the square are perpendicular bisectors because the diagonals are .:perpendicular and share the same midpoint