Question

Three vertices of a parallelogram on the coordinate plane are (-4,-6), (1,-4), (-4,-2). What is the coordinate of the fourth vertex?

a) (1,-2)
b) (-6,-4)
c) (-1,-6)
d) (-7,-2)

Answer 1

The coordinate of the fourth vertex of the parallelogram is (5, 2), which is not among the given options.

Step-by-step explanation:

To find the coordinate of the fourth vertex of the parallelogram, we can use the fact that opposite sides of a parallelogram are parallel. So, if we take the difference between the x-coordinates of two opposite vertices, and the difference between the y-coordinates of the same opposite vertices, we should get the same result. Let's calculate:

(1, -4) - (-4, -6) = (1 - (-4), -4 - (-6)) = (5, 2)

So, the fourth vertex has coordinates (5, 2), which is not among the given options. Therefore, none of the options provided in the question is correct.