Question

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

.

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

Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.

Step-by-step explanation: Trust Me! Answer is correct in Edge.

Good Luck! :)

• 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 point.

Answer 2

Explanation: