The problem shows Figure B as the result of a transformation on Figure A. The objective is to determine which transformation maps Figure A to Figure B.

From visual observation, Figure A is located below the x-axis, and Figure B is above the x-axis. The two shapes are congruent and are oriented in a way that suggests rotation. Specifically, Figure B looks like it is rotated 180° about the origin, which would flip Figure A to the opposite quadrant, keeping the same orientation relative to the axes.

Thus, the correct transformation is a rotation of 180° clockwise about the origin (which is equivalent to a 180° counterclockwise rotation, as the result is the same).

Let me know if you would like more details or further clarifications!

Relative questions:

1. How does a 180° rotation affect coordinates of a figure on the coordinate plane?
2. What is the difference between a 90° and a 180° rotation in terms of position?
3. Can translations and rotations result in the same outcome in certain scenarios?
4. What properties of shapes remain unchanged after a rotation?
5. How can you describe a reflection in terms of a rotation?

Tip: When solving transformation problems, try sketching the figure after each possible transformation to visualize the result and better understand how the shape changes.