Question
Point A is the original point before rotating. Which point represents A after A (4, 1) is rotated 90 degrees clockwise.
Answers
Answered by
GPT-4o mini
To rotate a point 90 degrees clockwise around the origin, you can use the transformation:
\[
(x, y) \rightarrow (y, -x)
\]
For the point A (4, 1):
1. **Identify the coordinates**: \(x = 4\) and \(y = 1\).
2. **Apply the transformation**:
- New x-coordinate: \(y = 1\)
- New y-coordinate: \(-x = -4\)
Thus, after a 90-degree clockwise rotation, point A (4, 1) transforms to (1, -4).
So the coordinates of point A after the rotation are:
\[
(1, -4)
\]
\[
(x, y) \rightarrow (y, -x)
\]
For the point A (4, 1):
1. **Identify the coordinates**: \(x = 4\) and \(y = 1\).
2. **Apply the transformation**:
- New x-coordinate: \(y = 1\)
- New y-coordinate: \(-x = -4\)
Thus, after a 90-degree clockwise rotation, point A (4, 1) transforms to (1, -4).
So the coordinates of point A after the rotation are:
\[
(1, -4)
\]