Mathematics, 14.08.2021 18:30 rosenthaljaneiah2010
Quadrilateral PQRS is located at P (β4, 1), Q (β2, 3), R (1, 1), and S (β2, β2). Russell and Jamie have both classified PQRS differently. Examine their proofs. Who is correct?
Russell Jamie
PQRS is a parallelogram because both pairs of opposite sides are parallel
Segment PQ
P (β4, 1) and Q (β2, 3)
m equals 3 minus 1 over negative 2 plus 4 equals 2 over 2 equals 1
Segment SR
S (β2, β2) and R (1, 1)
m equals 1 plus 2 over 1 plus 2 equals 3 over 3 equals 1
Segment PS
P (β4, 1) and S (β2, β2)
m equals negative 2 minus 1 over negative 2 plus 4 equals negative 3 over 2
Segment QR
Q (β2, 3) and R (1, 1)
m equals 1 minus 3 over 1 plus 2 equals negative 2 over 3
Segments PQ and SR are parallel, and segments PS and QR are parallel. PQRS is a parallelogram because both pairs of opposite sides are congruent
Segment PQ
P (β4, 1) and Q (β2, 3)
d equals the square root of the quantity negative 2 plus 4 all squared plus 3 minus 1 all squared equals the square root of the quantity 4 plus 4 equals the square root of 8 equals 2 times the square root of 2
Segment SR
S (β2, β2) and R (1, 1)
d equals the square root of the quantity 1 plus 2 all squared plus 1 plus 2 all squared equals the square root of the quantity 9 plus 9 equals the square root of 18 equals 3 times the square root of 2
Segment PS
P (β4, 1) and S (β2, β2)
d equals the square root of the quantity negative 2 plus 4 all squared plus negative 2 minus 1 all squared equals the square root of the quantity 4 plus 9 equals the square root of 13
Segment QR
Q (β2, 3) and R (1, 1)
d equals the square root of the quantity 1 plus 2 all squared plus 1 minus 3 all squared equals the square root of the quantity 9 plus 4 equals the square root of 13
Segments PQ and SR are congruent, and segments PS and QR are congruent.
A. Russel
B. Jamie
C. Both
D. Neither
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Quadrilateral PQRS is located at P (β4, 1), Q (β2, 3), R (1, 1), and S (β2, β2). Russell and Jamie h...
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