What is the result of a 90-degree clockwise rotation of the point (1, 0)?

Sharpen your skills with the Transformations Proficiency Exam. Dive into comprehensive questions, utilize tailored explanations, and gear up for success!

To determine the result of a 90-degree clockwise rotation of the point (1, 0), it's helpful to visualize the transformation on the Cartesian coordinate plane.

When a point is rotated 90 degrees clockwise around the origin, the x and y coordinates of the point switch places, and the new y coordinate takes the negative value of the original x coordinate.

For the point (1, 0):

  1. The x-coordinate is 1, and the y-coordinate is 0.

  2. After a 90-degree clockwise rotation, the new coordinates will be derived as follows:

  • The new x-coordinate becomes the original y-coordinate: 0.

  • The new y-coordinate becomes the negative of the original x-coordinate: -1.

This results in the new coordinates being (0, -1).

Therefore, the correct answer reflects that a 90-degree clockwise rotation of the point (1, 0) moves it to (0, -1).

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