The coordinates of two opposite vertices of a parallelogram are (4, 5)

1.	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?
Answer» 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).

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?

Answer»

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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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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