Question

In the given parallelogram ABCD, find the coordinates of D.

• A. $(2,6)$
• B. $(6,2)$
• C. $(12,6)$
• D. $(6,12)$

Answer 1

The correct option is A $(2,6)$


Given coordinates of
$A=(0,0),B=(5,0),C=(7,6)$
Let the coordinate of D be $(x,y)$
$\because$ In a parallogram opposite sides are equal and parallel.
$\therefore$ Difference in X-coordinate of A & D
= Difference in X-coordinate of B and C.
$\Rightarrow x-0=7-5$
$\Rightarrow x=2$ and similarly difference in Y-coordinates of A and D = difference in Y-coordinates of B and C
$\Rightarrow y-0=6-0$
$\Rightarrow y=6$
$\therefore$ Coordinates of $D=(x,y)=(2,6)$