The coordinates of A are (3, 2) and the coordinates of C are (5, 6).The mid-point of

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The coordinates of A are (−3, 2) and the coordinates of C are (5, 6).The mid-point of AC is M and the perpendicular bisector of AC cuts the x-axis at B.

i. Find the equation of MB and the coordinates of B.

ii. Show that AB is perpendicular to BC.

iii. Given that ABCD is a square, find the coordinates of D and the length of AD.

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