I need help with Geometry

Russell is correct.

Step-by-step explanation:

It is given that Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, 0), and S (1, −1).

Distance formula:

Slope formula:

Using distance and slope formula find the length and slope of each side.

Segment PQ : P(0, 1) and Q(3, 2).

Segment SR : S(1, −1) and R(4, 0).

Segment PS : P(0, 1) and S (1, −1)

Segment QR : Q(3, 2) and R(4, 0)

Slope of parallel lines are same.

Segments PQ and SR are both congruent and parallel, and segments PS and QR are both congruent and parallel.

PQRS is a parallelogram because opposite sides are both congruent and parallel.

Product of slopes of perpendicular lines is -1.

Product of slope of two adjacent sides is

Therefore adjacent sides are not perpendicular. It means the PQRS is not a rectangle.

Therefore, Russell is correct.