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

The coordinates of D is (1,0)

Step-by-step explanation:

Given the following points for a parallelogram:

A (X1,Y1), B (X2,Y2), C (X3,Y3) and D (X4,Y4)

We know that that: X2-X1=X3-X4 (1) and Y2-Y1=Y3-Y4 (2)

Given that

A(X1,Y1)=A(-2, 4)

B(X2,Y2)=B(1, 3)

C(X3,Y3)=C(4, -1)

We need to find D (X4,Y4).

Solving equation (1) for X4 we find that:

X4 = X3 + X1 - X2 = 4 -2 -1 = 1

Solving equation (2) for Y4 we find that:

Y4=Y3+Y1-Y2 = -1 + 4 - 3 =0

Then the coordinates of D is: (1, 0).

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