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)

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step-by-step explanation:

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