Question

lesson 7 practice problems

1. which of these statements is true?

a. all rectangles are regular polygons.
b. all squares are regular polygons.
c. all rhombi are regular polygons.
d. all parallelograms are regular polygons.

Explanation:

Step1: Recall regular polygon definition

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

Step2: Analyze option A

Rectangles have opposite - sides equal and all angles 90 degrees, but adjacent sides are not always equal. So, not all rectangles are regular polygons.

Step3: Analyze option B

Squares have all four sides equal and all four angles equal (each 90 degrees). So, all squares are regular polygons.

Step4: Analyze option C

Rhombuses have all four sides equal, but their angles are not always equal. So, not all rhombuses are regular polygons.

Step5: Analyze option D

Parallelograms have opposite - sides equal and opposite - angles equal, but not all sides are equal and not all angles are equal. So, not all parallelograms are regular polygons.

Answer:

B. All squares are regular polygons.