Question

classify this quadrilateral. parallelogram trapezoid square equilateral

Explanation:

A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. In the given figure, the markings indicate that both pairs of opposite sides are equal in length. In Euclidean geometry, if both pairs of opposite sides of a quadrilateral are equal, then it is a parallelogram (this is a theorem). A trapezoid has only one pair of parallel sides (in some definitions, it can have at most one pair), which is not the case here. A square is a special type of parallelogram with all sides equal and all angles right angles - there is no indication of right angles or all - sides - equal from the markings. An equilateral is a term usually for triangles (all sides equal), not for quadrilaterals in this context.

Answer:

Parallelogram