1. **Stating the problem:** We need to find the result of a 90° counterclockwise rotation about the origin.
2. **Formula for rotation:** A rotation of a point $(x,y)$ about the origin by an angle $\theta$ counterclockwise is given by:
$$
(x', y') = (x\cos\theta - y\sin\theta, x\sin\theta + y\cos\theta)
$$
3. **Apply the formula for 90° counterclockwise rotation:** Here, $\theta = 90^\circ = \frac{\pi}{2}$ radians.
We know:
$$
\cos 90^\circ = 0, \quad \sin 90^\circ = 1
$$
So,
$$
(x', y') = (x \cdot 0 - y \cdot 1, x \cdot 1 + y \cdot 0) = (-y, x)
$$
4. **Interpretation:** This means every point $(x,y)$ after a 90° counterclockwise rotation about the origin moves to $(-y, x)$.
**Final answer:** The transformation for a 90° counterclockwise rotation about the origin is:
$$
(x,y) \to (-y, x)
$$
90 Degree Rotation
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