Imagine a counterclockwise rotation of 270° about the origin of the figure. Choose the coordinate of A′.

(1 point)

1 answer

To perform a counterclockwise rotation of 270° about the origin, we can use the following transformation rule for rotating a point \( (x, y) \):

  • The new coordinates after a rotation of \( 270^\circ \) counterclockwise can be obtained using:

    \[ (x', y') = (y, -x) \]

If you provide the coordinates of point \( A \) (let's say \( A(x, y) \)), we can find the coordinates of \( A' \) after the rotation. For example, if \( A \) has coordinates \( (x, y) \), after the rotation, the coordinates of \( A' \) will be:

  • \( A'(y, -x) \)

Please provide the coordinates for point \( A \) so I can give you the exact coordinates for \( A' \).