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The coordinates of two opposite vertices of a parallelogram are (4, 5) and (1, 3). What are the coordinates of the point of intersection of its diagonals?

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ago by (31.1k points)

Midpoint of line joining the points (4, 5) and (1, 3) is

\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{4+1}{2},\frac{5+3}{2})\)

\((\frac{6}{2},\frac{8}{2})=(3,4)\)

The coordinates of the point of intersection of its diagonal is (3, 4).

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