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

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

• A. (1, 1)
• B. (0, 1)
• C. (0, -1)
• D. (1, -1)

Answer: (C)

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).

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).