Question

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

Answer 1

Answer:

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

Step-by-step 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,

$x=\frac{x_1+x_2}{2}$

x = $\frac{-2+9}{2}$ = 3.5

Similarly, y-coordinate of the midpoint will be,

y = $\frac{y_1+y_2}{2}$

y = $\frac{6+1}{2}$ = 3.5

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