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

The coordinates of vertex D are (1,2).

Step-by-step explanation:

Let the coordinates of D are (a,b).

It is given that ABCD is a parallelogram and the vertices of the parallelogram are A(-2,4), B(1,3) and C(4,1).

According to the property of parallelogram, the diagonals of the parallelogram bisect each other.

AC and BD are diagonals of the parallelogram ABCD.

Midpoint formula:

Using midpoint formula, the midpoint of AC is

Using midpoint formula, the midpoint of BD is

Midpoint of both diagonals is the intersection point of the diagonals.

On comparing both the sides we get

The value of a is 1.

The value of b is 2.

Therefore the coordinates of vertex D are (1,2).

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step-by-step explanation:

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