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, from the same graph, state the co-ordinates of the mid-points of the sides AB and CD.
D=(−6,−4); Mid-point of AB=(3,2) and mid-point of CD=(−1,−4)
D=(−6,4); Mid-point of AB=(5,2) and mid-point of CD=(−1,4)
D=(6,4); Mid-point of AB=(3,2) and mid-point of CD=(5,4)
D=(−6,−4); Mid-point of AB=(5,2) and mid-point of CD=(−1,−4)
A
D=(−6,4); Mid-point of AB=(5,2) and mid-point of CD=(−1,4)
B
D=(−6,−4); Mid-point of AB=(5,2) and mid-point of CD=(−1,−4)
C
D=(−6,−4); Mid-point of AB=(3,2) and mid-point of CD=(−1,−4)
D
D=(6,4); Mid-point of AB=(3,2) and mid-point of CD=(5,4)
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Solution
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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.
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