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evablogger [386]
3 years ago
11

The vertices of quadrilateral PQRS are P(4, 5), Q(6, 6), R(9, 4), and S(7, 2). Write a paragraph proof to determine whether quad

rilateral PQRS is a parallelogram.

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0
The vector PQ is Q-P = (2, 1). The vector SR is R-S = (2, 2). One is not a multiple of the others, so the vectors are not parallel. In a parallelogram, these vectors would be identical. PQRS is not a parallelogram.

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Step-by-step explanation:

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Put Eq. (2) in (1)

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\rule[225]{225}{2}

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\Large{\boxed{\red{\bf \blue{\dag} v\leqslant -12 \:\:or\:\:v\geqslant 16}}}

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