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Question
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.
Solution
Plot the points A, B, and C on the graph paper. Join the points to complete the parallelogram ABCD. As the distance between points A and B is 10 units, distance between the corners of the opposite side C and D will also be 10 units.
Hence, the fourth point D = (- 6, - 4)
Mid point of AB will lie at 5 units distance from A and B both which is = (3, 2)
Mid point of CD will lie at 5 units distance from C and D both which is = (-1, -4)
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