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

Explanation:

ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is °.

Since it is a regular octagon, rotation can be done about the centre to the angle.

The central angle subtended by each side to the centre is 360/8 = 45 degrees.

Hence A will become B when rotated about 45 degrees.

Thus rotation requires 45 degrees abut the center.