Points a(-2, 4), b(1, 3), c(4, -1) and d form a parallelogram. what are the coordinates of d?

a.
(5, 5)
b.
(0, 0)
c.
(1, -2)
d.
(1, 0)
e.
(3, 4)

The answer is D (1,0)

Step-by-step explanation:

From point B to point A it is left 3 up 1. So from Point C go left 3 up 1 considering it's a parallelogram and there you have it. (1,0)

The coordinates of point D is (1, 0)      

Step-by-step explanation:

Given that points A(-2,4), B(1, 3), C(4, -1) and D form a parallelogram.

we have to find the coordinates of point D.

Let coordinates of point D are (x, y)

By mid-point formula, if (a, b) and (c, d) are the coordinates of two points joining the line segment then the coordinates of mid-point are

As diagonals of parallelogram bisect each other therefore the mid-point of both diagonals are same.

Mid-point of AC=Mid-point of BD

Comparing both sides, we get

⇒

⇒

The coordinates of point D is (1, 0)

Option D is correct