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

What's your guess ??

Answer 2

A

Answer 3

BUT IM NOT SURE

Answer 4

Consider an axis passing through the circle at the centre.
Now tell me by which minimum angle should we rotate to get the same image ??

Answer 5

or 30

Answer 6

im taking this online class for geometry because i never took it and its the last class i need for graduation and im stuck :(

Answer 7

The answer is
\[\frac{ 360 }{ n }\]
where n is the number of sides.

IDK how to explain that to you.
Maybe @ybarrap may find an animation to explain this.

Answer 8

its 72

Answer 9

Yep

Answer 10

a pentagon has 5 sides 360 divided by 5

Answer 11

:)

Answer 12

Regular pentagon ABCDE rotates counterclockwise about its center to yield pentagon A'B'C'D'E'. At which angle of rotation does A' coincide with D?