Question

which statement is always true?
a trapezoid is a parallelogram.
a rhombus is a square.
a rectangle is a parallelogram.
a quadrilateral is a trapezoid.

Explanation:

• Analyze Option A: A trapezoid has only one pair of parallel sides, while a parallelogram has two pairs of parallel sides. So a trapezoid is not always a parallelogram.
• Analyze Option B: A rhombus has all sides equal, but a square also requires all angles to be right angles. A rhombus with non - right angles is not a square, so a rhombus is not always a square.
• Analyze Option C: A rectangle has two pairs of parallel sides (opposite sides are parallel) and also satisfies the definition of a parallelogram (a quadrilateral with two pairs of parallel sides). So a rectangle is always a parallelogram.
• Analyze Option D: A quadrilateral is a four - sided figure. A trapezoid has at least one pair of parallel sides. There are quadrilaterals (e.g., a kite with no parallel sides) that are not trapezoids, so a quadrilateral is not always a trapezoid.

Answer:

C. A rectangle is a parallelogram.