Answer:
Option (a)
Step-by-step explanation:
This question is incomplete without statements; find the statements as followed,
a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.
b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.
c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.
d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.
Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.
m∠AEB = 90° [Diagonals of a square intersect each other at 90°]
In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.
Therefore, Option (a) is correct.
