Question

What is the least angle of rotation that maps the regular heptagon onto itself? Round your answer to

the nearest whole degree.

Answer 1

`Minimum = 51^(\circ)`

Explanation:

Given:

`Shape = Heptagon`

Required

Determine the least angle of rotation that places the heptagon on itself

First, we write out the number of sides of a heptagon

`Sides = 7`

Next, we write out the measure of 1 complete rotation

`1\ Complete\ Rotation = 360^(\circ)`

The minimum angle of rotation is then calculated as:

`Minimum = (1\ Complete\ Rotation)/(Sides)`

`Minimum = (360^(\circ))/(7)`

`Minimum = 51.4285714286^(\circ)`

`Minimum = 51^(\circ)`

Hence, the minimum rotation angle is
`51^(\circ)`