Q. 55.0( 2 Votes )
The quadrilateral formed by points (–1, 1), (0, –3), (5, 2) and (4, 6) will be:
We have A → (–1, 1)
B → (0, –3)
C → (5, 2)
D → (4, 6)
Using the distance formula,
We find that AB = CDand BC = DA.
The oppposite pairs of sides are equal for the given quadrilateral.
Consider the diagonals, AC and BD.
Since the diagonals are not equal, the given quadrilateral is not a rectangle.
(This is also visible from the figure since angles are not 90°.)
⇒ ABCD is a parallelogram.
∴ The correct option is D.
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