Question

Through which angle of rotation does the image of a regular pentagon coincide with its preimage?

A.90
B.72
c.60
D.45 E.30

Answer 1

The central angle of a regular pentagon is : 360° : 5 = 72°
Through this angle of rotation the image of a regular pentagon coincide with its preimage.
Answer: B ) 72°

Answer 2

The correct answer is:

B) 72°.

Step-by-step explanation:

A figure's rotational symmetry tells us how we can rotate the figure and have the image coincide with the pre-image.

To find the degrees of rotational symmetry, we divide 360° (the total number of degrees in a circle) by the number of regular sides of the figure. This is a regular pentagon, so we divide 360 by 5:

360/5 = 72

This figure has rotational symmetry at 72°, which means a rotation of this measure will cause the image to coincide with the pre-image.