Question

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 . The slope of diagonal QR is . Step 2: Calculate the midpoint of the diagonals. The midpoint of PS is . The midpoint of QR is . The diagonals of the square are perpendicular bisectors because the diagonals are .

Answer 1

i did the assignment on edge, i hope this helps! :)

Explanation:

On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).

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

Step 2: Calculate the midpoint of the diagonals.

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

Answer 2

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).

Perpendicular and share the same midpoint.