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:
A (- 4, - 6), C(6, 0) and D(- 4, 0).

Answer 1

A (- 4, - 6), C(6, 0) and D(- 4, 0)

After plotting the given points A(- 4, - 6), C(6, 0) and D(- 4, 0) on a graph paper; joining D with and A with C. From the graph it is clear that the vertical distance between the points D( - 4, 0) and A(- 4, - 6) is 6 units and the horizontal distance between the points D(- 4, 0) and C(6, 0) is 10 units, therefore the vertical distance between the points C(6, 0) and B must be 6 units and the horizontal distance between the points A(- 4, - 6) and B must be 10 units. Now complete the rectangle ABCD

As is clear from the graph B(6, - 6)