Question: 8. ABCD is a rectangle. (a) How will the midpoint of AC change when the rectangle is moved 4 units in the positive direction of

8. ABCD is a rectangle.

(a) How will the midpoint of AC change when the rectangle is moved 4 units in the positive direction of the x-axis?

(b) The coordinates of A and Care (h, k) and (m, n) respectively. Given that the rectangle is moved k units in the negative direction of the y-axis and then k units in the negative direction of the x-axis, find an expression, in terms of h, k, m and n, for the midpoint of AC.

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