David is writing a coordinate proof involving a parallelogram. Knowing that the opposite sides of a parallelogram are congruent, David 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?(a+b, c)(b, a+c)(2b, c)(2a, c)

Answer:(a+b, c) Step-by-step explanation:The distance of the side along the x-axis is given by a-0 = a.The length of the side opposite this must also be a units long; this means the x-coordinate of the fourth vertex will be at b+a, or a+b.Since opposite sides are parallel and the top left vertex has a y-coordinate of c, the fourth vertex must have a y-coordinate of c.This makes the coordinates of the fourth vertex (a+b, c).