Question

If a parallelogram ABCD is drawn are shown in fig then find the coordinates of 'D'

Answer 1

Given coordinates of A=(0,0)

B =(5,0)

C=(7,6)

Let the coordinates of D be (x,y).

$\because$ In a parallogram opposite side are equal and parallel (0.5 mark)

$\therefore$ Difference in X-coordinates of A & D =Difference in X-coordinates of B and C

$\Rightarrow x-0=7-5$ (1 mark)

$\Rightarrow x=2$ and similarly difference in Y-coordinates of A and D =difference in Y-coordinates of B and C

$\Rightarrow y-0=6-0$ (1 mark)

$\Rightarrow y=6$

$\therefore$ Coordinates of D=(x,y)=(2,6) (0.5 mark)