Question

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

Answer 1

To rotate a point (x, y) 90 degrees counterclockwise around the origin, you can use the following transformation:

\[
(x, y) \rightarrow (-y, x)
\]

For the point A(4, 1):

- \(x = 4\)
- \(y = 1\)

Applying the transformation:

\[
(x, y) \rightarrow (-y, x) \implies (4, 1) \rightarrow (-1, 4)
\]

Thus, point A(4, 1) after a 90-degree counterclockwise rotation will be at the coordinates \((-1, 4)\).