Question

which of the following is a false statement about parallelograms and squares? squares and parallelograms are polygons. squares and parallelograms are not polygons. squares and parallelograms must have 2 pairs of parallel sides. squares and parallelograms are quadrilaterals.

Explanation:

1. Recall the definitions: A polygon is a closed figure with straight sides. A quadrilateral is a four - sided polygon. A parallelogram is a quadrilateral with two pairs of parallel sides, and a square is a special type of parallelogram (with four equal sides and four right angles).
2. Analyze each option:

• Option 1: Squares and parallelograms are closed figures with straight sides, so they are polygons. This statement is true.
• Option 2: Since we know from the definition of polygons that squares and parallelograms are polygons, the statement "Squares and parallelograms are not polygons" is false.
• Option 3: By definition, parallelograms have two pairs of parallel sides, and squares (as a type of parallelogram) also have two pairs of parallel sides. This statement is true.
• Option 4: Both squares and parallelograms have four sides, so they are quadrilaterals. This statement is true.

Answer:

B. Squares and parallelograms are not polygons