https://file.aiquickdraw.com/mathbot/file/1727049543096b93ulw5v.jpg

The problem asks which transformation takes Figure A to Figure B, given four possible options.

Let's analyze the figures:

- **Figure A** is in the first quadrant (positive x and y coordinates).
- **Figure B** is in the second quadrant (negative x values, positive y values).

### Answer options:
1. **Clockwise rotation of 270° about the origin**: This would rotate the figure 3/4 of a circle clockwise. Figure A would move from the first quadrant to the second quadrant, which seems promising.
2. **Reflection over the y-axis**: This would flip Figure A horizontally across the y-axis, which doesn't appear to match Figure B's orientation.
3. **Reflection over the x-axis**: This would flip Figure A vertically across the x-axis, which also doesn't match Figure B.
4. **Clockwise rotation of 90° about the origin**: This would move Figure A from the first quadrant to the fourth quadrant, not matching Figure B's placement in the second quadrant.

### Correct Transformation:
The correct transformation appears to be **a clockwise rotation of 270° about the origin**, as this will place the figure in the second quadrant while maintaining its relative orientation.

Would you like more details on how this rotation works? Here are 5 related questions that can help you understand transformations better:

1. How do you perform a 270° clockwise rotation on a coordinate plane?
2. What is the difference between rotating 90° and 270° clockwise?
3. How does reflecting over the y-axis change the coordinates of a figure?
4. Can you determine the new coordinates of a shape after a 270° rotation?
5. What happens to the orientation of a shape after different types of reflections?

**Tip**: When rotating figures, remember that clockwise and counterclockwise rotations move in opposite directions.

Which transformation would take Figure A to Figure B?

Learn how to perform a 270° clockwise rotation on the coordinate plane. This example involves transforming Figure A to Figure B by rotating it about the origin, maintaining the correct orientation. Understand key geometric concepts and transformations, ideal for students in Grades 7-9.

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