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

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

          Option: B

            B.   72 degrees

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:

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

The angular symmetry is:

each side has a different length.  

step-by-step explanation:

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )