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20 September, 04:26

Quadrilateral PQRS has vertices P (-3, 2), Q (-1, 4), and R (5, 0). For each of the given coordinates of vertex S, determine whether the quadrilateral is a parallelogram, a trapezoid that is not a parallelogram, or neither. Select the correct answer for each lettered part.

a. S (0, 0)

b. S (3, - 2)

c. S (2, - 1)

d. S (6, - 4)

e. S (5, - 3

+5
Answers (2)
  1. 20 September, 04:28
    0
    it is trapezium in case of a) S (0, 0) it is parallelogram in case of b) S (3, - 2)

    And vertex of part c), d) and e) are neither trapezium nor parallelogram.

    Step-by-step explanation:

    The given Quadrilateral PQRS has vertices P (-3, 2), Q (-1, 4), and R (5, 0).

    If we take fourth vertex S as (0, 0) (as shown in figure-1)

    we can see that distance between PQ and ST are same 2√2.

    so, line PS and RQ are parallel.

    Therefore it is trapezium in case of a) S (0, 0)

    If we take fourth vertex S as (3, - 2) (as shown in figure-2)

    we can see that distance between PQ and SR are same 2√2

    and distance between PS and RQ are same √52

    Therefore it is parallelogram in case of b) S (3, - 2)

    And vertex of part c), d) and e) are neither trapezium nor parallelogram.
  2. 20 September, 04:30
    0
    The second (b) is the correct one.

    a is trapezoid.

    c, d, e i think neither.
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