Question

In the regular octagon shown below, which of the following is the minimum angle of rotation about center point C will carry the figure onto itself?
1) 15°
2) 30°
3) 45°
4) 90°

Answer 1

Answer: 4)90˚

Step-by-step explanation:

(90˚ is more towards the middle

Answer 2

A regular octagon is a shape with 8 congruent sides.

The minimum angle of rotation is 45 degrees

The number of sides of a regular octagon is:

$\mathbf{n = 8}$

The total angle at the center of the regular octagon is:

$\mathbf{\theta = 360}$

So, the minimum angle of rotation is calculated as follows:

$\mathbf{\alpha = \frac{\theta}{n}}$

This gives

$\mathbf{\alpha = \frac{360}{8}}$

$\mathbf{\alpha = 45}$

Hence, the minimum angle of rotation is 45 degrees

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