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c. Create a rule for the number of lines of reflectional symmetry that a regular polygon with n sides will have and the minimum number of degrees of rotation that a regular polygon with n sides will need to rotate onto itself about its center. Assume n > 3.

Respuesta :

MrRoyal

A polygon with a reflectional symmetry will look the same when reflected over a line.

  • The rule for the number of lines is: [tex]Lines = n[/tex]
  • The minimum number of degrees of rotation is [tex]\theta = \frac{360}{n}[/tex].

We observe that:

  • An equilateral triangle has 3 lines of reflectional symmetry
  • A square has 4 lines of reflectional symmetry
  • A regular pentagon has 5 lines of reflectional symmetry,

Notice that, the number of lines of symmetry is always the number of sides of the shape.

So, the rule for the number of lines is:

[tex]Lines = n[/tex]

Where n represents the number of sides

The minimum degree of rotation is calculated by dividing 360 degrees by the number of sides. i.e

[tex]\theta = \frac{360}{n}[/tex]

Read more about lines of symmetry at:

https://brainly.com/question/12841039

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