Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

On comparing both sides, we get

Similarly,

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

the correct is answer is a 9-sided polygon!