https://file.aiquickdraw.com/mathbot/file/1726248326461w7yo8ytk.jpg

Let's analyze the questions and figures from your image step by step.

### For Figure A and Figure B:
1. **Are Figure A and Figure B congruent?**
   - To determine if two figures are congruent, their shape and size must be identical, but they may be in different positions due to rotations, translations, or reflections. In this case, both Figure A and Figure B appear to have the same shape and size, which suggests they are congruent.

   **Answer: Yes** (Figure A and Figure B are congruent).

2. **Which transformation will map Figure A onto Figure B exactly?**
   - Looking at the grid, Figure A can be mapped onto Figure B by a reflection across the y-axis. The triangle in Figure B is a mirror image of Figure A.

   **Answer: Reflect Figure A over the y-axis**.

### For Figure C and Figure D:
1. **Are Figure C and Figure D congruent?**
   - Again, you need to check if both figures have the same shape and size. Figure C and Figure D are identical in shape and size but are positioned differently.

   **Answer: Yes** (Figure C and Figure D are congruent).

2. **Which transformation will map Figure C onto Figure D exactly?**
   - If we translate Figure C 8 units up, it will map exactly onto Figure D.

   **Answer: Translate Figure C up 8 units**.

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### Do you want further details on any of these transformations or any other related question?

### Here are 5 additional related questions to deepen your understanding:
1. What is the difference between translation and reflection in geometric transformations?
2. Can a figure still be congruent after a rotation, and how do you determine this?
3. How would you describe a rotation about a specific point, and how does that affect the figure's orientation?
4. How can you identify the correct axis when reflecting a figure over the x-axis or y-axis?
5. What are the steps to verify if two figures are congruent using transformations?

### Tip:
When determining the correct transformation, always consider the orientation of the figure and whether the image is a direct translation, rotation, reflection, or a combination.

Are Figure A and Figure B congruent? Which transformation will map Figure A onto Figure B exactly? Are Figure C and Figure D congruent? Which transformation will map Figure C onto Figure D exactly?

Explore how to determine congruence between figures and perform geometric transformations. Learn how to map Figure A onto Figure B and Figure C onto Figure D using reflections and translations. This problem focuses on key concepts of congruence and geometric transformations, suitable for Grades 6-8.

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