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A (-2, 2), B (8, 2) and C (4, -4) are the vertices of a parallelogram ABCD. By plotting the given points on a graph paper; find the co-ordinates of the fourth vertex D.

Also, form the same graph, state the co-ordinates of the mid-points of the sides AB and CD

Answer:

Given, A(2,-2), B(8,2) and C(4,-4) are the vertices of the parallelogram ABCD

Joining A, B, C, and D we get the parallelogram ABCD.

According to the graph, we get, D(-6,4)

From the graph,

The coordinates of the mid-point of AB is E(3,2)

The coordinates of the mid-point of CD is F(-1,-4)

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