Question

four polygons are shown. which statement about the polygons is true? each polygon has opposite sides that are parallel. each polygon has all sides that are the same length. each polygon has sides that are perpendicular. each polygon has all angles that are the same measure.

Explanation:

Step1: Analyze the properties of parallelograms

A parallelogram is a polygon where opposite sides are parallel. The four polygons shown are all parallelograms (rectangle, parallelogram, rhombus, square).

Step2: Check each option

• Option 1 (Each polygon has opposite sides that are parallel): By the definition of parallelograms (which these polygons are), opposite sides are parallel.
• Option 2 (Each polygon has all sides that are the same length): A rectangle (first polygon) has opposite sides equal, not all sides equal.
• Option 3 (Each polygon has sides that are perpendicular): A parallelogram (second polygon) has no perpendicular sides (unless it's a special case like a rectangle or square).
• Option 4 (Each polygon has all angles that are the same measure): A parallelogram (second polygon) has opposite angles equal, not all angles equal.

Answer:

Each polygon has opposite sides that are parallel.