Question

Point A is the original point before rotating. What point will A be after A (4, 1) is rotated 90° counterclockwise

Answer 1

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

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

For the point \(A(4, 1)\):

1. Identify \(x\) and \(y\):
- \(x = 4\)
- \(y = 1\)

2. Apply the transformation:
- New \(x\) coordinate: \(-y = -1\)
- New \(y\) coordinate: \(x = 4\)

So, after rotating \(A(4, 1)\) 90 degrees counterclockwise, the new coordinates of point \(A\) will be:

\[
A'(-1, 4)
\]

Answer 2

To those reading, (-1, 4) is point G

Answer 3

Capital G