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 Rickys claim?

a) Rickys claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.
b) Rickys claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.
c) Rickys claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.
d) Rickys claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.

Answer 1

Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

Step-by-step explanation:

Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

A rotation of 90 degrees or 180 degrees about the center of the square will also carry the square onto itself, but these rotations are not multiples of 30 degrees. Therefore, option a) Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees, is the correct statement.

Answer 2

Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

Step-by-step explanation:

Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

A rotation of 90 degrees or 180 degrees about the center of the square will also carry the square onto itself, but these rotations are not multiples of 30 degrees. Therefore, option a) Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees, is the correct statement.