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The problem is asking for a sequence of **rigid motions** to map figure \( ABC \) to figure \( DEF \). Rigid motions involve transformations that preserve the distance and angle between points, such as **translations**, **rotations**, and **reflections**.

Here is a possible sequence of rigid motions:

1. **Translation**: First, translate triangle \( ABC \) so that point \( A \) maps to point \( D \). This moves the entire triangle along the plane while keeping the orientation the same.

2. **Rotation**: After the translation, rotate the triangle around point \( D \) (formerly \( A \)) by approximately \( 90^\circ \) counterclockwise so that side \( AB \) lines up with side \( DE \). 

3. **Reflection**: Finally, reflect the triangle across the line \( DE \) so that the orientation of triangle \( ABC \) matches triangle \( DEF \), mapping point \( B \) to \( E \) and point \( C \) to \( F \).

This sequence of rigid motions (translation, rotation, and reflection) should transform triangle \( ABC \) to triangle \( DEF \).

Would you like more details on any of the steps, or do you have any questions?

### Related Questions:
1. What is the definition of a rigid motion in geometry?
2. Can rigid motions change the size or shape of a figure?
3. How do you determine the angle of rotation between two figures?
4. What are the key properties of a reflection in geometry?
5. How can you verify if a rigid motion was performed correctly?

### Tip:
When performing rigid motions, always check that distances between points and angles are preserved to ensure the transformation is correct.

Write a sequence of rigid motions to take figure ABC to figure DEF.

Explore how to transform triangle ABC to triangle DEF using a sequence of rigid motions. This educational guide covers translations, rotations, and reflections in geometry, demonstrating how to preserve distances and angles between points during transformations.

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