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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