To determine the transformation that takes Figure A to Figure B, let's analyze the figures closely.

1. Reflection: Figure B appears to be a mirror image of Figure A across the y-axis. This suggests that a reflection over the y-axis is involved in the transformation.

   Here's the reasoning:

   • Figure A is located in the third quadrant (negative x and y coordinates), while Figure B is located in the second quadrant (positive y, but negative x).
   • The orientation of the shape in Figure B is consistent with a reflection. The left-right orientation has been flipped, while the size and shape remain unchanged.

Therefore, the transformation is a reflection over the y-axis.

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. How can we express a reflection over the x-axis mathematically?
2. What would happen if we rotated Figure A 90 degrees clockwise? Where would it be?
3. Could a translation alone move Figure A to the position of Figure B?
4. How do we combine multiple transformations (e.g., reflection and rotation) in a single transformation?
5. What would be the result of a reflection across both the x-axis and y-axis?

Tip: When identifying transformations, always consider whether the shape's orientation, size, and position change—this can help determine the type of transformation (reflection, rotation, translation, etc.).