Question

ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is °. It will take increments of that degree of clockwise rotation for A′ (the image of A) to coincide with C.

Answer 1

45° of clockwise rotation.

Explanation:

The minimum degree of rotation by which a regular octagon can map onto itself is 45°. This is because a regular octagon has 8 sides, so each side must be rotated 45° to coincide with its adjacent side. So, it will take 8 increments of 45° clockwise rotation for A' (the image of A) to coincide with C.

Here is the calculation:

The total number of degrees in a circle is 360°.

The number of degrees in a regular octagon is 360° / 8 = 45°.

Therefore, it takes 45° of clockwise rotation to map a regular octagon onto itself.