Mathematics, 21.06.2020 07:57 itaheart101
Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, 0), and S (1, −1). Russell and Jamie have both classified PQRS differently. Examine their proofs. Who is correct? Russell Jamie PQRS is a parallelogram because opposite sides are both congruent and 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, −1) and R (4, 0) 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 0 plus 1 over 4 minus 1 equals one third Segment PS P (0, 1) and S (1, −1) 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, 0) d equals the square root of the quantity 4 minus 3 all squared plus 0 minus 2 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5 m equals 0 minus 2 over 4 minus 3 equals negative 2 over 1 Segments PQ and SR are both congruent and parallel, and segments PS and QR are both congruent and parallel. PQRS is a rectangle because opposite sides are both congruent and 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, −1) and R (4, 0) 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 0 plus 1 over 4 minus 1 equals one third Segment PS P (0, 1) and S (1, −1) 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, 0) d equals the square root of the quantity 4 minus 3 all squared plus 0 minus 2 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5 m equals 0 minus 2 over 4 minus 3 equals negative 2 over 1 Segments PQ and SR are both congruent and parallel, and segments PS and QR are both congruent and parallel. Segments PS and SR are perpendicular. Segments PQ and QR are perpendicular. Russell Jamie Both Neither
Answers: 3
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Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, 0), and S (1, −1). Russell and Jamie have...
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