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