https://file.aiquickdraw.com/mathbot/file/1726298782592w7m7ue52.jpg

The question asks you to select the transformation(s) that map Figure A to Figure A' in the graph. Let's analyze the transformation by comparing the original figure (Figure A) and its image (Figure A'):

1. **Rotation Analysis**: 
   - It appears that Figure A is rotated about the origin.
   - By observing the orientation of Figure A and Figure A', the shape is rotated by **90 degrees counterclockwise (CCW)**. This means that the answer includes **Option C: 90° CCW Rotation**.

2. **Reflection Analysis**:
   - There is no reflection involved because the orientation of the figure has not been flipped horizontally or vertically.

3. **Other Rotations**:
   - There is no evidence of a **180° rotation** or **90° clockwise (CW) rotation**. These transformations would result in different positions and orientations.

4. **Translation**:
   - The figure is not simply moved without rotating, so **Option A (Translation)** is not correct.

In conclusion, the correct transformation that maps Figure A to Figure A' is **90° CCW Rotation**, which corresponds to **Option C**.

Would you like further details, or do you have any other questions?

Here are five related questions for further practice:
1. How would the graph look if a 180° rotation was applied to Figure A?
2. What is the result of reflecting Figure A over the x-axis?
3. Can a translation map Figure A to Figure A'?
4. What happens to coordinates under a 90° CW rotation?
5. How does a reflection over the y-axis affect the orientation of a figure?

**Tip**: When performing a 90° CCW rotation, swap the coordinates \((x, y)\) to \((-y, x)\) to find the new position.

Select the transformation(s) that map Figure A to Figure A'.

Understand how to determine the correct transformation for Figure A to Figure A' through a 90° counterclockwise rotation. This geometry problem covers key concepts in transformations and rotational symmetry. Ideal for Grades 7-9 students.

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