Question

which is a subset of the set of rectangles?
the set of rhombuses
the set of quadrilaterals
the set of parallelograms
the set of squares

Explanation:

To determine which set is a subset of rectangles, we analyze each option:

• A rhombus has all sides equal but not all angles are necessarily right angles, so not all rhombuses are rectangles.
• Quadrilaterals are a broad category; many quadrilaterals (e.g., trapezoids with non - right angles) are not rectangles.
• A parallelogram has opposite sides parallel, but angles don't have to be right angles, so not all parallelograms are rectangles.
• A square has four right angles (so it is a rectangle) and four equal sides. All squares satisfy the properties of rectangles, so the set of squares is a subset of the set of rectangles.

Answer:

the set of squares