Question

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

The length of SP, PQ, RQ, and SR are each 5.
The slope of SP and RQ is and the slope of SR and PQ is .
The length of SQ and RP are both .
The midpoint of both diagonals is , the slope of RP is 7, and the slope of SQ is .

Answer 1

The answer is D,thank me later!

Answer 2

Answer with explanation:

To prove that ,diagonals of square P Q RS are perpendicular bisectors of each other

We need to prove that ,→ Mid point of Diagonal PR and QS are same.

→That is Diagonals of square bisect each other.

→Also, the Product of slopes of two line segments ,that is Diagonal PR and QS ,where the two diagonals intersect is equal to -1.

Option D: The midpoint of both diagonals is Same, the slope of RP is 7, and the slope of SQ is
`(-1)/(7)`

because
`7 * (-1)/(7)=-1`