How many different positive rotations of less than 360°
will map a square to itself?(1 point)
Responses
infinitely many
0
1
3
4
How many different positive rotations of less than 360° will map a square to itself?(1 point)
Responses
A. infinitely many
B. 0
C. 1
D. 3
D. 3
To determine the number of different positive rotations of less than 360° that will map a square to itself, we need to consider the symmetry of a square.
A square has four sides that are equal in length and four 90° angles. If we rotate a square by an angle that is a multiple of 90°, the square will still look the same. This is because each corner of the square will end up in the same position after the rotation.
Therefore, the only possible rotations of less than 360° that can map a square to itself are rotations of 90°, 180°, and 270°.
Hence, the number of different positive rotations that will map a square to itself is 3.