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.

Question

Revolt · Accepted Answer

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

Figures in the Coordinate Plane

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.

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