Question

Ricky draws a square . He claims that any rotation about the center of the square that is a multiple of 30 degrees will carry the square onto itself . Which statement best describes Ricky's claim ?

Answer 1

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.