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?

Question

Mathematics

Alissa Mendez

20 June, 19:07

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?

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Lainey Fitzpatrick · Answer 1

Given that 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.

Then the fourth vertex will lie on the line y = x.

Therefore, the coordinates he should assign to the fourth vertex of the parallelogram is (a, a).