In a 90-degree clockwise rotation about the origin, what is the new position of the point (1, 2)?

To determine the new position of the point (1, 2) after a 90-degree clockwise rotation about the origin, we can use a standard transformation rule for rotations.

When a point (x, y) is rotated 90 degrees clockwise around the origin, the new coordinates are calculated as (y, -x). Applying this to the point (1, 2):

1. Identify the x-coordinate and y-coordinate:

• x = 1

• y = 2

2. Apply the transformation rules for a 90-degree clockwise rotation:

• New x-coordinate becomes y, which is 2.

• New y-coordinate becomes -x, which is -1.

After applying these transformations, we obtain the new coordinates: (2, -1).

This coordinate perfectly matches the choice identified as correct, demonstrating that the application of the rotation transformation rule was performed accurately. Hence, when the point (1, 2) is rotated 90 degrees clockwise about the origin, it indeed moves to the coordinates (2, -1).