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.

Question

Mathematics

Demetrius

4 June, 07:55

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.

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Ruben Schultz · Answer 1

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

Equilateral means all sides are equal. The star is equiangular too since it has the same measure of angles.

The number of lines of symmetry of the said regular star can be explained through the reflection symmetry, also known as Mirror symmetry whereby the star's half is the reflection of the other half of the same star.