Q11 of 53 Page 122

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

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.


More from this chapter

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9

Find k if the line passing through points P(-12,-3) and Q(4, k)has slope .

 10

Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the linejoining the points C(2,4) and D(1,7).

 12

Show that the □PQRS formed by P(2,1), Q(-1,3), R(-5,-3) and S(-2,-5) is a rectangle.

 13

Find the lengths of the medians of a triangle whose vertices are A(-1,1), B(5, -3) and C(3, 5).