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 270 degrees counterclockwise
rotation about the origin of 270 degrees counterclockwise

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

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

Answer 1

A clockwise rotation of 90 degrees is equivalent to a counterclockwise rotation of 270 degrees. This is because:

• A clockwise rotation of 90 degrees moves points in a 90-degree angle to the right.
• A counterclockwise rotation of 270 degrees moves points in a 90-degree angle to the left (since 270 degrees counterclockwise is equivalent to going back 90 degrees).

Therefore, the correct response is:

rotation about the origin of 270 degrees counterclockwise.