Question

In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX?

Point of Intersection = ____ ____

Answer 1

Point of intersection of WY and ZX is (3.5, 3.5).

Explanation:

Since, diagonals of a parallelogram bisect each other,

Point of intersection of the diagonals will be midpoint of each diagonal.

By this property, midpoint (x, y) of the segment joining W(-2, 6) and Y(9, 1) will be,

`x=(x_1+x_2)/(2)`

x =
`(-2+9)/(2)` = 3.5

Similarly, y-coordinate of the midpoint will be,

y =
`(y_1+y_2)/(2)`

y =
`(6+1)/(2)` = 3.5

Therefore, point of intersection of the diagonals of the given parallelogram will be (3.5, 3.5).