Mathematics, 22.06.2021 19:30, ellamai16
Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, β1), and S (1, β2). 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, β2) and R (4, β1)
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, β2)
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, β1)
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, β2) and R (4, β1)
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, β2)
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, β1)
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
Answers: 1
Mathematics, 21.06.2019 16:50, lunamoon1
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Answers: 1
Mathematics, 21.06.2019 18:30, kimmosley80
The school that imani goes to is selling tickets to the annual dance competition. on the first day of the ticket sales the school sold 7 adult tickets and 5 child tickets for a total of $96. the school took in $40 on the second day by seling 3 adult tickets . find the price of an adult ticket and the price of a child ticket. solve by using substitution elimination college prep algebra math heres the 2 equations i came up with 7x+5y=96 and 3x+2y= -40 show all workiv be stuck on this.
Answers: 1
Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, β1), and S (1, β2). Russell and Jamie hav...
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