Question

P(3, 4), Q(0, w), R(v, 2) and S(4, 1) are the vertices of a parallelogram PQRS, calculate the value of v and w.

Answer 1

U know the property of a parallelogram that the diagonals of a parallelogram bisect each other.

Answer 2

use this property and find the value of v and w

Answer 3

v=-1, w=-1 ans

Answer 4

the line joining the 2 unknown points is the same length and has the same slope as PS ->

(w-2)/(0-v) = 3/-1 and sqrt((w-2)^2 + (0-v)^2)) = sqrt10 ->

v=1 and w = 5