The question asks for the rigid motion that maps $\triangle DEF$ onto $\triangle ABC$. From the image, we can observe the following coordinates:

• $\triangle DEF$:

  • $D(-5, -5)$
  • $E(-5, -3)$
  • $F(-3, -5)$

• $\triangle ABC$:

  • $A(0, 0)$
  • $B(2, 0)$
  • $C(0, 2)$

One way to map these triangles is through a combination of transformations. A common type of rigid motion could be a reflection followed by a translation or rotation.

Upon examining, a reflection across the line $y = x$ would map $\triangle DEF$ to the same orientation as $\triangle ABC$.

Thus, the correct rigid motion is likely:

• Reflection over $y = x$.

Would you like more details on the steps or reasoning? Here are some follow-up questions to consider:

1. How do you identify if two triangles are congruent under a rigid motion?
2. What is the significance of reflection in rigid motion transformations?
3. Could a rotation also map $\triangle DEF$ onto $\triangle ABC$? Why or why not?
4. How do you determine the line of reflection when mapping two triangles?
5. Are there other transformations that could also achieve this mapping?

Tip: Always check the orientation of the shapes when performing rigid motions to ensure you’re applying the correct transformation.