Q. 55.0( 2 Votes )

The quadrilateral formed by points (–1, 1), (0, –3), (5, 2) and (4, 6) will be:
A. square

B. rectangular

C. rhombus

D. parallelogram

Answer :


We have A (–1, 1)


B (0, –3)


C (5, 2)


D (4, 6)


Using the distance formula,


AB =


=


=


=


BC =


=


=


=


CD=


=


=


=


DA =


=


=


=s


We find that AB = CDand BC = DA.


The oppposite pairs of sides are equal for the given quadrilateral.


Consider the diagonals, AC and BD.


AC =


=


=


=


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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