Question

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

Answer 1

Answer:

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

A. octagon.

Step-by-step explanation:

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

$\dfrac{360\degree}{n}$

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

i.e. we have:

$\dfrac{360}{n}=45\\\\n=\dfrac{360}{45}\\\\n=8$

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)

Answer 2

Octagon, because 360/8 = 45