Question

ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is (30 ; 45 ; 90 ; 120 °). It will take ( 2 ; 4 ; 6 ; 8 ) increments of that degree of clockwise rotation for A′ (the image of A) to coincide with C.

Answer 1

Answer:

45°

2 - Clockwise

Step-by-step explanation:

ABCDEFGH is a regular octagon.

The minimum degree of rotation by which this octagon can map onto itself.

For rotation we have to find the central angle of each side.

Complete angle = 360°

A regular octagon has 8 equal sides. All sides make same angle at center.

8Ф = 360°

Ф = 45°

If we rotate regular octagon by 45° then it map onto itself.

Hence, 45° correct answer.  

After 2 times clockwise rotation by 45° each time. We will get the image of A coincide with C as shown in attach figure.

C is second vertex of A.

Answer 2

Since the center is 360 degrees, divide by 8 to find the measure of each angle formed by drawing a radius to each vertex. This gives you 45 degrees. To move A to C would take two rotations which is (45)*2= 90 degrees