Question

Three vertices of a parallelogram are shown in the figure below.

Give the coordinates of the fourth vertex.
(-2,7)
(3.-4)
(4,5)
00

Answer 1

Answer:

The coordinates of the fourth vertex are (9, -6).

Explanation:

To find the coordinates of the fourth vertex of the parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and equal in length.

Let's start by finding the vector from the first vertex to the second vertex:

v = (3, -4) - (-2, 7) = (5, -11)

Now, let's add this vector to the third vertex to find the fourth vertex:

(4, 5) + (5, -11) = (9, -6)

Therefore, the coordinates of the fourth vertex are (9, -6).