Question

(1,2) rotate counterclockwise 90 degrees

Answer 1

To rotate the point (1, 2) counterclockwise by 90 degrees around the origin, you can use the rotation formula:

\[
(x', y') = (-y, x)
\]

Where (x, y) is the original point, and (x', y') is the new point after rotation.

Applying the formula to the point (1, 2):

- Start with (x, y) = (1, 2)
- Substitute into the formula:

\[
x' = -y = -2
\]
\[
y' = x = 1
\]

So, the new coordinates after rotating the point (1, 2) counterclockwise by 90 degrees are:

\[
(-2, 1)
\]