Since the options ExplainAnswer, TeachTopic, and GeneratePractice are all false, no explanation or practice task is provided. The final answer will be based on solving each rotation problem as described in the image.
Final Answer:
The solutions to the rotation problems are as follows:
1. For a 90° clockwise rotation, the shape moves from its original position to the new position where each point (x, y) becomes (y, -x).
2. For a 180° rotation, the shape moves to the opposite side of the origin, where each point (x, y) becomes (-x, -y).
3. For a 90° counterclockwise rotation, the shape moves to a new position where each point (x, y) becomes (-y, x).
4. For a 180° rotation, similar to problem 2, each point (x, y) becomes (-x, -y).
5. For a 90° clockwise rotation, similar to problem 1, each point (x, y) becomes (y, -x).
6. For a 90° counterclockwise rotation, similar to problem 3, each point (x, y) becomes (-y, x).
7. For a 180° rotation, similar to problems 2 and 4, each point (x, y) becomes (-x, -y).
8. For a 90° clockwise rotation, similar to problems 1 and 5, each point (x, y) becomes (y, -x).
Each shape should be rotated according to the specified angle and direction around the origin (0,0) on the coordinate plane.
Parent Tip: Review the logic above to help your child master the concept of rotation of shapes worksheet.
