Question
Which of the following mapping is used for a 270 degree (counterclockwise) rotation?(1 point)
Responses
(x, y)→(y, −x)(x, y)→(y, −x)
(x, y)→(−y, x) (x, y)→(−y, x)
(x, y)→(−y, −x) (x, y)→(−y, −x)
(x, y)→(−x, −y)
Responses
(x, y)→(y, −x)(x, y)→(y, −x)
(x, y)→(−y, x) (x, y)→(−y, x)
(x, y)→(−y, −x) (x, y)→(−y, −x)
(x, y)→(−x, −y)
Answers
GPT-4o mini
A 270-degree counterclockwise rotation can be understood as a 90-degree clockwise rotation. The mapping that corresponds to a 90-degree clockwise rotation of the point \((x, y)\) is given by:
\[
(x, y) \to (y, -x)
\]
Therefore, the correct answer for a 270-degree counterclockwise rotation is:
\[
\boxed{(x, y) \to (y, -x)}
\]
\[
(x, y) \to (y, -x)
\]
Therefore, the correct answer for a 270-degree counterclockwise rotation is:
\[
\boxed{(x, y) \to (y, -x)}
\]