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 Negative four-thirds and the slope of SR and PQ is Three-fourths.
The length of SQ and RP are both StartRoot 50 EndRoot.
The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

For a square PQRS, the diagonals will be RP and SQ.

We know the diagonals of a square bisect each other.

To show that the diagonals are perpendicular, then the product of their slope must be -1.

We have that the slope of

and the slope of

Their product is:

D) The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

Edge2021 ^_^

x= 149. 24+7=31. 180-31=149

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