Answer: The slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).
Explanation:
The given vertices are P (0,4), Q (4,4), R (0,0) and S (4,0).
If a line passing through the point and , then the slope of the line is,
The slope of diagonal PS is,
The slope of diagonal QR is,
The slope of both diagonals are 1 and -1, therefore the product of their slopes is -1. So, the diagonals are perpendicular to each other.
The formula for midpoint is,
The midpoint of PS is,
The midpoint of QR is,
The midpoint of both diagonals are same, therefore diagonals are bisecting each other.
Therefore, the slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).