Parallelogram has coordinates (0, 0), (2, 4), (6, 0), and (4, -4). Which ordered pair represents the intersection of the diagonals of this parallelogram?

coordinate ( 3, 0 )

Step-by-step explanation:

Using general linear equation

Y = MX + C

Let first use coordinates (0, 0) and (6, 0)

M = 0/6 = 0

And the intercept (C) at y = 0

The equation for the first diagonal is : X = 6

The intersection will take place at midpoint.

Therefore X = 3

Also let's consider the

coordinates (2, 4) and (4, -4)

Slope M = (-4-4)/(4-2) = -8/2

M = -4

4 = -4(2) + C

C = 4 + 8 = 12

The equation for the second diagonal will be:

Y = -4X + 12

Substitute the value of X in first equation in the second equation

Y = -4(3) + 12

Y = -12 +12 = 0

At the point of intersection the two lines will have common ( x, y) coordinate.

The ordered pair that represents the intersection of the diagonals of this parallelogram is (3, 0)

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.