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Question
In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
B (10, 4), C(0, 4) and D(0, -2).
Solution
B (10, 4), C(0, 4) and D(0, -2)
After plotting the given points B (10, 4), C(0, 4) and D(0, - 2) on a graph paper; joining C with B and C with D. From the graph it is clear that the vertical distance between the points C(0, 4) and D(0, - 2) is 6 units and the horizontal distance between the points C(0, 4) and D(0, - 2) is 10 units, therefore the vertical distance between the points B (10, 4) and A must be 6 units and the horizontal distance between the points D(0, - 2) and A must be 10 units. Now complete the rectangle ABCD
As is clear from the graph A(10, - 2).
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