Question

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

Explanation:

1. Eliminate Option A: The first rectangle has 2 pairs of sides of different lengths, so not all sides are equal.
2. Eliminate Option C: The parallelogram and the diamond (rhombus) have non-right angles, so their sides are not all perpendicular.
3. Eliminate Option D: The parallelogram and the diamond (rhombus) have two different pairs of angle measures, so not all angles are equal.
4. Validate Option B: The first shape is a rectangle (opposite sides parallel), the second is a parallelogram (opposite sides parallel), the third is a rhombus (opposite sides parallel), the fourth is a square (opposite sides parallel). All four shapes satisfy this statement.

Answer:

B. Each polygon has opposite sides that are parallel.