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)
(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)
(x, y)→(−x, −y)
Answers
GPT-4o mini
The mapping used for a 270-degree (counterclockwise) rotation is:
\[(x, y) \to (y, -x)\]
This is because a 270-degree rotation counterclockwise is equivalent to a 90-degree rotation clockwise, and the mapping for a 90-degree clockwise rotation is indeed \((x, y) \to (y, -x)\).
\[(x, y) \to (y, -x)\]
This is because a 270-degree rotation counterclockwise is equivalent to a 90-degree rotation clockwise, and the mapping for a 90-degree clockwise rotation is indeed \((x, y) \to (y, -x)\).