Q. 113.6( 13 Votes )

Show that points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertices of aparallelogram.

Answer :

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)


Slope of a line between two points (a,b) and (c,d) is



Distance PQ = =


Distance QR = =


Distance RS = =


Distance SP = =


Slope PQ =


Slope QR =


Slope RS =


Slope SP =


As opposite sides are equal and parallel, the points from a parallelogram.


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