Question

Vito is writing a coordinate proof involving a parallelogram. Knowing that the opposite sides of a parallelogram are congruent, Vito places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis.What coordinates should he assign to the fourth vertex of the parallelogram?

Answer 1

This is the correct answer

Answer 2

(2c + 2a, 2b)

Explanation:

The plot attached is missing in the question.

The x-coordinate of the fourth vertex is the combination of the x-coordinate of the second and third vertex, that is, 2c + 2a. The y-coordinate of the fourth vertex is the same y-coordinate as the other point not laying on the x-axis, that is, 2b.