Question

Instructions:Select the correct answer from each drop-down menu. 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. NextReset

Answer 1

It would be 45 degrees. Since a an octagon takes 8 turns to go around and there is a total of 360 degrees, you can divide 360 by 8 to get your answer of 45 degrees. For answering questions like this you need to take 360 and divide it be the amount of sides to get the minimum amount of degrees of rotation.

Answer 2

Remember that regular octagon is a figure with eight sides, where all of them are equal. The image attached shows a regular octagon.

So, if we want to map the octagon on to itself using rotation, we need to rotate 90° clockwise, or make to moves of 45° each, that way the octagon would be as the original one because it has equal sides.

When you rotate the first 45°, you would have like an inclined octagon, so you need to rotate another 45° to get the same octagon as the original.

So, the minimum degree would be 45°, doing it twice.