ABCD is a square where $\mathrm{B}(1,3), \mathrm{D}(3,2)$ are the end points of the diagonal BD . Find: the coordinates of point of intersection of the diagonals AC and BD
Explanation
Since ABCD is a square, the diagonals AC and BD bisect each other at their point of intersection. The midpoint of the diagonal BD is ((1+3)/2, (3+2)/2) = (2, 2.5). Since the diagonals bisect each other, the point of intersection of the diagonals AC and BD is also (2, 2).
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