Question

Question

Given a point (1, 2)
on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 90 degrees?(1 point)
(
)

Answer 1

To rotate a point (x, y) counterclockwise about the origin by 90 degrees, the new coordinates (x', y') can be found using the following transformation:

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

So, if we apply this transformation to the point (1, 2):

• \( x' = -y = -2 \)
• \( y' = x = 1 \)

Thus, the new point after rotating (1, 2) counterclockwise about the origin by 90 degrees is (-2, 1).

So the answer is:

\[ (-2, 1) \]