It looks like you have a question about determining if figures are congruent and related by a transformation in the ALEKS system. Let me help break down what you're being asked:

1. For Figures A and B:

   • You need to determine whether these two figures are congruent. If they have the same size and shape, then they are congruent.
   • Then, you'll identify which transformation will map Figure A onto Figure B. The options include translations (moving the figure), reflections (flipping), and rotations (turning).

2. For Figures C and D:

   • Similarly, you need to check if Figures C and D are congruent.
   • The task here is also to figure out what transformation maps Figure C onto Figure D, with options for translations, reflections, and rotations.

Let's tackle the possible transformations:

• Translation: Moving a figure without rotating or flipping it. For example, "Translate Figure A to the left 6 units" would move Figure A exactly 6 units to the left.

• Reflection: Flipping a figure over an axis (e.g., "Reflect Figure A over the X-axis"). This changes the figure's orientation.

• Rotation: Rotating a figure around a point (usually the origin). For instance, "Rotate Figure A clockwise 90°" would turn Figure A 90 degrees around the origin.

Please let me know if you need further help with this specific question, or if you'd like to discuss how these transformations work in detail!

Would you like an explanation of congruence and transformations in general?

Here are some questions that might help you:

1. What are the criteria to determine if two figures are congruent?
2. How does a reflection differ from a rotation in geometry?
3. How can you use translation to map one figure onto another?
4. When would you use a rotation of 180° instead of a reflection over an axis?
5. How do you check if a transformation preserves the orientation of a figure?

Tip: Always visualize transformations on graph paper to understand how the figure moves or rotates!