Quadrilateral Question

If all of the angles off a quadrilateral are congruent can the quadrilateral be a parallelogram? Explain.

If all the angles in a quadrilateral are congruent, the quadrilateral is a rectangle with four right angles. Because the opposite sides of a rectangle are parallel, it is a parallelogram.

Thus, if all the angles of a quadrilateral are congruent, the quadrilateral must be a parallelogram.