A star has six identically matched points. Suppose you line up two stars directly on top of each other. What is the least number of degrees that you can rotate the top star so that the two stars are perfectly aligned again?
A:60
B:120
C:180***
D:30
Ms. Sue, can you please check my answer? :)
you are correct.
In order to determine the least number of degrees that you can rotate the top star to align it perfectly with the bottom star, we need to consider the symmetry of the stars.
Given that each star has six identically matched points, we can observe that the points are equally spaced around a circle. Since there are a total of 360 degrees in a circle, each point of the star represents an angle of 360/6 = 60 degrees.
To align the stars, we need to match the corresponding points on each star. As the stars are aligned directly on top of each other, one point of the top star will already be aligned with one point of the bottom star.
To align the rest of the points, we need to rotate the top star by the smallest possible angle. Since each point on the star represents an angle of 60 degrees, the closest multiple of 60 degrees that aligns with the remaining points is 180 degrees.
Therefore, the correct answer is C: 180 degrees.