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

Question

Responses

rotation about the origin of 270 degrees clockwise
rotation about the origin of 270 degrees clockwise

rotation about the origin of 180 degrees counterclockwise
rotation about the origin of 180 degrees counterclockwise

rotation about the origin of 90 degrees counterclockwise
rotation about the origin of 90 degrees counterclockwise

rotation about the origin of 270 degrees counterclockwise

Answer 1

To determine which transformation is equivalent to a clockwise rotation of 90 degrees, we can analyze each option.

1. Rotation about the origin of 270 degrees clockwise: This is equivalent to a 90-degree counterclockwise rotation, so it is equal.

   • Equivalent (since 360° - 90° = 270°)

2. Rotation about the origin of 180 degrees counterclockwise: This does not equal a 90 degrees clockwise rotation.

   • Not equivalent

3. Rotation about the origin of 90 degrees counterclockwise: This is the opposite of a 90 degrees clockwise rotation.

   • Not equivalent

4. Rotation about the origin of 270 degrees counterclockwise: This equals a 90 degrees clockwise rotation (since 360° - 270° = 90°).

   • Equivalent

Therefore, the correct options that are equivalent transformations to a 90 degrees clockwise rotation are:

• Rotation about the origin of 270 degrees clockwise
• Rotation about the origin of 270 degrees counterclockwise

If you need to pick just one, the first choice is the direct equivalent.