Question

Which regular polygon has a minimum rotation of 45 degrees to carry the polygon onto itself?

A. octagon
B. decagon
C. Hexagon
D. Pentagon

Answer 1

octagon, because 360/8 = 45

Answer 2

Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:

A. octagon.

Explanation:

We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:

`(360\degree)/(n)`

Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.

i.e. we have:

`(360)/(n)=45\\\\n=(360)/(45)\\\\n=8`

Hence, the number of sides of a polygon are 8.

Hence, the polygon is:

A. octagon.

( Since a polygon with 8 sides is called a octagon)