Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, −1), and S (1, −2). Russell and Jamie have both classified PQRS differently. Examine their proofs. Who is correct? Russell Jamie
PQRS is a rhombus because all sides are congruent and opposite sides are parallel.

Segment PQ
P (0, 1) and Q (3, 2)
d equals the square root of the quantity 3 minus 0 all squared plus 2 minus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals 2 minus 1 over 3 minus 0 equals one third

Segment SR
S (1, −2) and R (4, −1)
d equals the square root of the quantity 4 minus 1 all squared plus 0 plus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals negative 1 plus 2 over 4 minus 1 equals one third

Segment PS
P (0, 1) and S (1, −2)
d equals the square root of the quantity 1 minus 0 all squared plus negative 1 minus 1 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5
m equals negative 1 minus 1 over 1 minus 0 equals negative 2 over 1

Segment QR
Q (3, 2) and R (4, −1)
d equals the square root of the quantity 4 minus 3 all squared plus negative 1 minus 2 all squared equals the square root of the quantity 1 plus 9 equals the square root of 10
m equals negative 1 minus 2 over 4 minus 3 equals negative 3 over 1

Segments PQ, QR, SR, and PS are all congruent. Segments PQ and SR are parallel, and segments PS and QR are parallel. PQRS is a square because all sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular.

Segment PQ
P (0, 1) and Q (3, 2)
d equals the square root of the quantity 3 minus 0 all squared plus 2 minus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals 2 minus 1 over 3 minus 0 equals one third

Segment SR
S (1, −2) and R (4, −1)
d equals the square root of the quantity 4 minus 1 all squared plus 0 plus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals negative 1 plus 2 over 4 minus 1 equals one third

Segment PS
P (0, 1) and S (1, −2)
d equals the square root of the quantity 1 minus 0 all squared plus negative 2 minus 1 all squared equals the square root of the quantity 1 plus 9 equals the square root of 10
m equals negative 2 minus 1 over 1 minus 0 equals negative 3 over 1

Segment QR
Q (3, 2) and R (4, −1)
d equals the square root of the quantity 4 minus 3 all squared plus negative 1 minus 2 all squared equals the square root of the quantity 1 plus 9 equals the square root of 10
m equals negative 1 minus 2 over 4 minus 3 equals negative 3 over 1

Segments PQ, QR, SR, and PS are all congruent. Segments PQ and SR are parallel, and segments PS and QR are parallel. Segments PQ and QR are perpendicular, and segments PS and SR are perpendicular.
Russell
Jamie
Both
Neither