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 90 degrees counterclockwise

rotation about the origin of 270 degrees counterclockwise

rotation about the origin of 180 degrees counterclockwise

Answer 1

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

1. Rotation about the origin of 270 degrees clockwise: This is the same as a counterclockwise rotation of 90 degrees, so it's not equivalent.

2. Rotation about the origin of 90 degrees counterclockwise: This is the opposite of a 90-degree clockwise rotation, so it's also not equivalent.

3. Rotation about the origin of 270 degrees counterclockwise: A counterclockwise rotation of 270 degrees is equivalent to a clockwise rotation of 90 degrees (because a full circle is 360 degrees). So this one is equivalent.

4. Rotation about the origin of 180 degrees counterclockwise: This rotation does not match a 90-degree clockwise rotation, so it's not equivalent.

Thus, the correct answer is:

Rotation about the origin of 270 degrees counterclockwise.