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The problem asks to determine the transformation applied to \(\triangle RFT\) to create \(\triangle R'F'T'\). Here is a breakdown of how to approach this:

1. **Observation of triangles**: The triangles \(\triangle RFT\) and \(\triangle R'F'T'\) are both congruent, which means that a rigid transformation (either a rotation, reflection, or translation) was applied.

2. **Reflection hypothesis**: The line \(PK\) is a good candidate for reflection because it seems to be aligned in such a way that \(\triangle R'F'T'\) appears to be the mirror image of \(\triangle RFT\).

3. **Rotation or translation hypotheses**: There is no evidence that a 90° or 180° rotation would correctly map \(\triangle RFT\) onto \(\triangle R'F'T'\). Additionally, the triangles do not appear to have been simply translated because their orientation has changed.

Therefore, **the correct answer is that \(\triangle RFT\) was reflected over the line \(PK\)**.

### Final Answer:
- **Reflection over the line \(PK\)**.

Would you like more details on any step? Here are 5 related questions to explore further:

1. How can you distinguish between reflection and rotation transformations geometrically?
2. Why do congruent triangles ensure that rigid transformations have occurred?
3. How do we mathematically describe reflections over a line?
4. What role does the symmetry line \(PK\) play in this transformation?
5. How can we calculate the new coordinates after a reflection?

**Tip**: To verify transformations, you can check the distances between corresponding points before and after the transformation and confirm that these distances remain consistent!

Which single transformation was applied to \(\triangle RFT\) to create \(\triangle R'F'T'\)?

This problem asks students to determine the single transformation applied to triangle RFT to create R'F'T'. The question focuses on identifying reflections, rotations, or translations, and is suitable for students in Grades 8-10. The correct answer involves reflecting triangle RFT over line PK.

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