A picture of the sun has 12 identically matched points. suppose you line up two suns directly on top of each other. what is the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again?
The answer is 30 degrees.
If you divide the circle into 12 equal parts, each point on the first sun will correspond to a point exactly one-twelfth of the way around the circle on the second sun (since they are identical and lined up).
If you rotate the top sun one-twelfth of a circle (i.e. 30 degrees), each point on the first sun will now correspond to the same point on the second sun. Therefore, they are perfectly aligned again.
Any smaller rotation will not line up all 12 points as they were before.
If a picture of the sun has 12 identically matched points, it means that there are 12 points of symmetry. When lining up two suns directly on top of each other, they are initially perfectly aligned.
To find the least number of degrees to rotate the top sun so that they are aligned again, we need to determine the angle of rotation between each point of symmetry.
Since there are 12 points of symmetry, the total angle of rotation to make a complete alignment is 360 degrees (12 x 30 degrees).
Therefore, the least number of degrees to rotate the top sun so that the two suns are perfectly aligned again is 360 degrees.