Identify the four-sided figure in which opposite sides are parallel and opposite angles are equal.

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Multiple Choice

Identify the four-sided figure in which opposite sides are parallel and opposite angles are equal.

Explanation:
A parallelogram. When a quadrilateral has both pairs of opposite sides parallel, it’s a parallelogram, and in such shapes the opposite angles are equal as a consequence of that parallelism. Trapezoids have only one pair of parallel sides, so they don’t fit. Rectangles and squares also satisfy these properties, but they are specific kinds of parallelograms (with right angles and, in the square’s case, equal sides), while the question describes the general figure defined by those parallel opposite sides.

A parallelogram. When a quadrilateral has both pairs of opposite sides parallel, it’s a parallelogram, and in such shapes the opposite angles are equal as a consequence of that parallelism. Trapezoids have only one pair of parallel sides, so they don’t fit. Rectangles and squares also satisfy these properties, but they are specific kinds of parallelograms (with right angles and, in the square’s case, equal sides), while the question describes the general figure defined by those parallel opposite sides.

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