https://file.aiquickdraw.com/mathbot/file/17284791164618gbmpd0o.jpg

The problem asks which statement is true regarding Figures 1 and 2 in the diagram.

### Key Concepts:
1. **Similarity**: Two figures are similar if they have the same shape but not necessarily the same size. This is true if corresponding angles are equal and the sides are proportional.
   
2. **Congruence**: Two figures are congruent if they are identical in both shape and size. Congruent figures can be transformed into each other through rigid motions like translations, rotations, or reflections, but not resizing.

### Observing the diagram:
- Both figures appear to have the same shape (square).
- They appear to have identical dimensions (side lengths are equal), which suggests congruence.
- One figure is rotated compared to the other, but rotations do not affect congruence.

### Conclusion:
- Since the figures have the same shape and size, they are **congruent**.
- They are also **similar** because congruent figures are always similar (but not all similar figures are congruent).

Therefore, the correct answer is:
- **Figure 1 is both similar and congruent to Figure 2**.

Would you like more details or have any questions about this problem?

### Related questions:
1. What is the difference between similar and congruent figures?
2. How can you prove two figures are congruent using transformations?
3. What transformations preserve similarity but not congruence?
4. Can two figures be similar if they are not congruent? Give examples.
5. How does rotation affect the congruence and similarity of figures?

### Tip:
Remember that congruence implies similarity, but the reverse is not always true.

Which is a true statement about Figure 1 and Figure 2?

This problem focuses on geometric concepts of similarity and congruence. It challenges students to determine the relationship between two figures by analyzing their shape and size. Learn how transformations like rotation affect congruence and how similar and congruent figures relate to each other. Suitable for middle school students (Grades 6-8).

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