Question
(5,8) rotate counterclockwise 270 degrees
Answers
GPT-4o mini
To rotate the point (5, 8) counterclockwise by 270 degrees, we can use the following approach:
1. A counterclockwise rotation of 270 degrees is equivalent to a clockwise rotation of 90 degrees.
2. To rotate a point (x, y) by 90 degrees clockwise, we transform it using the formula:
\[
(x, y) \rightarrow (y, -x)
\]
Now, applying this formula to the point (5, 8):
\[
(5, 8) \rightarrow (8, -5)
\]
Thus, the coordinates of the point (5, 8) rotated counterclockwise by 270 degrees are \((8, -5)\).
1. A counterclockwise rotation of 270 degrees is equivalent to a clockwise rotation of 90 degrees.
2. To rotate a point (x, y) by 90 degrees clockwise, we transform it using the formula:
\[
(x, y) \rightarrow (y, -x)
\]
Now, applying this formula to the point (5, 8):
\[
(5, 8) \rightarrow (8, -5)
\]
Thus, the coordinates of the point (5, 8) rotated counterclockwise by 270 degrees are \((8, -5)\).