In a given quadrilateral, each side is parallel to its opposite side and the diagon...

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Problem

In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be? Check all that apply.

Step-by-step solution

A quadrilateral with opposite sides parallel is a parallelogram. A square and a rectangle are types of parallelograms. A rhombus is also a parallelogram. The diagonals of a square and a rhombus are perpendicular, so they are excluded. Rectangles and parallelograms (that are not rhombuses or squares) have diagonals that are not perpendicular.

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Answer

B. Rectangle, C. Parallelogram