Describe the transformation in the diagram linked below

Question

90° clockwise rotation about the origin
90 degrees counterclockwise rotation about the origin
270 degrees counterclockwise rotation about the origin
180° counterclockwise rotation about the origin

Answer 1

Based on the transformations you've mentioned, here is a description of each rotation about the origin:

1. 90° Clockwise Rotation about the Origin:

   • To perform a 90° clockwise rotation, take a point (x, y) and transform it to (y, -x).

2. 90° Counterclockwise Rotation about the Origin:

   • For a 90° counterclockwise rotation, transform a point (x, y) to (-y, x).

3. 270° Counterclockwise Rotation about the Origin:

   • A 270° counterclockwise rotation is equivalent to a 90° clockwise rotation. Therefore, transform the point (x, y) to (y, -x).

4. 180° Counterclockwise Rotation about the Origin:

   • For a 180° counterclockwise rotation, take a point (x, y) and transform it to (-x, -y).

These transformations can be visualized on a coordinate plane, where the origin (0,0) remains fixed, and only the positions of the points change according to the specified rotations. If you have specific coordinates or shapes in the original diagram, applying these transformations will yield the new coordinates or positions of the shapes.