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Question

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

A
(2,6)
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B
(6,2)
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C
(12,6)
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D
(6,12)
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Solution

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)
In a parallogram opposite sides are equal and parallel.
Difference in X-coordinate of A & D
= Difference in X-coordinate of B and C.
x0=75
x=2 and similarly difference in Y-coordinates of A and D = difference in Y-coordinates of B and C
y0=60
y=6
Coordinates of D=(x,y)=(2,6)

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