Question

1. which of these statements is true? all rhombi are regular polygons. all parallelograms are regular polygons. all squares are regular polygons. all rectangles are regular polygons.

Explanation:

Step1: Recall regular polygon definition

A regular polygon has all - sides equal and all - angles equal.

Step2: Analyze rhombi

A rhombus has all sides equal, but its angles are not necessarily equal. So, not all rhombi are regular polygons.

Step3: Analyze parallelograms

A parallelogram has opposite sides equal and parallel, but its sides are not all equal and its angles are not all equal. So, not all parallelograms are regular polygons.

Step4: Analyze squares

A square has all four sides equal and all four angles equal (each angle is 90°). So, all squares are regular polygons.

Step5: Analyze rectangles

A rectangle has opposite sides equal and all angles equal (90°), but its adjacent sides are not necessarily equal. So, not all rectangles are regular polygons.

Answer:

All squares are regular polygons.