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 degrees B . 72 degreesC. 60 degreesD. 45 degreesE. 30 degrees

Answer 1

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

Option: B

B. 72 degrees

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:

`(360)/(n)\ degrees`

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

The angular symmetry is:

`(360)/(5)=72\ degrees`