Which of the following is an equivalent transformation to rotation of an object clockwise 90 degrees? (1 point)

Question

Rotation about the origin of 180 degrees counterclockwise

Rotation about the origin of 270 degrees counterclockwise

Rotation about the origin of 90 degrees counterclockwise

Rotation about the origin of 270 degrees clockwise

Answer 1

To determine which transformation is equivalent to a clockwise rotation of 90 degrees, we can analyze the options:

1. Rotation about the origin of 180 degrees counterclockwise: This is equivalent to a 180-degree rotation, which does not match a 90-degree rotation.

2. Rotation about the origin of 270 degrees counterclockwise: A counterclockwise rotation of 270 degrees is equivalent to a clockwise rotation of 90 degrees (because 360 - 270 = 90). Thus, this option is equivalent.

3. Rotation about the origin of 90 degrees counterclockwise: This is the opposite of a rotation of 90 degrees clockwise, so it does not match.

4. Rotation about the origin of 270 degrees clockwise: This is equivalent to a counterclockwise rotation of 90 degrees (360 - 270 = 90, moving in the opposite direction), so this does not match either.

Therefore, the correct answer is:

Rotation about the origin of 270 degrees counterclockwise.