Question

Abcdefgh is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is 45 degrees. It will take __ increments of that degree of clockwise rotation for to coincide with c

Answer 1

It will take two (2) 45-degree increments to rotate an octagon clockwise such that a will coincide with c. To visualize, draw an octagon in the middle of an xy plane. Let a be the angle that coincides with the positive y-axis and c the angle on the positive x-axis. Rotating this in two 45-degree increments will bring point a to the positive x-axis.