Question

A regular star is equilateral and has congruent angles at the vertices and congruent angles at each

indentation. Given the following examples of regular stars, give a rule for the number of lines of
symmetry in a regular star. In two or more complete sentences, justify the rule.

Answer 1

A regular star is a polygon with equilateral sides and congruent angles at the vertices. The number of lines of symmetry in a regular star is equal to the number of sides of the polygon that makes up the regular star.

Step-by-step explanation:

Regular Stars and Lines of Symmetry

A regular star is a polygon with equilateral sides and congruent angles at the vertices. To determine the number of lines of symmetry in a regular star, you can use the formula:

Number of lines of symmetry = n

where n is the number of sides of the polygon that makes up the regular star.

For example, a regular pentagon (5 sides) will have 5 lines of symmetry, while a regular hexagon (6 sides) will have 6 lines of symmetry.