Question

Returning a Polygon to its Original Position question 4:

Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
A. 90 degreesB . 72 degreesC. 60 degreesD. 45 degreesE. 30 degrees

Answer 1

Answer:

The angle of rotation through which the image of a regular pentagon coincide with its preimage is:

          Option: B

            B.   72 degrees

Step-by-step explanation:

Rotational symmery--

Rotational symmetry is the minimum angle by which a figure is rotated such that it coincides with the original figure.

We know that for any n-regular polygon (i.e. a regular polygon with n number of sides) has a rotational symmetry of:

                    $\dfrac{360}{n}\ degrees$

Here we are asked to find the rotational symmetry in case of pentagon i.e.  n=5

The angular symmetry is:

             $\dfrac{360}{5}=72\ degrees$