Point A is the original point before rotating. Which point represents A after A (4, 1) is rotated 90 degrees clockwise.

1 answer

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:

\[ (1, -4) \]