Question

four parallel lines are drawn in a rectangular sign. the sign is painted using two colors in an alternating pattern, as shown.
the figures are parallelograms because their opposite sides are parallel
the figures are rectangles because they are formed inside a rectangle
the figures are trapezoids because each has exactly one pair of parallel sides
the figures are quadrilaterals because each has four sides

Explanation:

Step1: Recall Parallelogram Definition

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. The sign has four parallel lines (two sets of parallel lines from the rectangle's sides and the drawn lines), so the figures formed have opposite sides parallel.

Step2: Analyze Other Options

• Rectangles: Require right angles, not guaranteed here.
• Trapezoids: Have only one pair of parallel sides, but here there are two pairs (from the parallel lines), so this is incorrect.
• Quadrilaterals: While true (four - sided), the more specific and correct description is parallelogram as it uses the parallel - side property from the diagram.

Answer:

The figures are parallelograms because their opposite sides are parallel.