To determine which sequence of transformations maps triangle $\triangle ABC$ onto $\triangle GHI$, we need to analyze the transformations step by step.

Key Transformations:

1. Reflection: A "flip" across a specified line (e.g., $x$-axis, $y$-axis, or other lines).
2. Translation: A "slide" of the shape by a specified distance in a given direction.
3. Rotation: A "turn" around a specific point (typically the origin).
4. Combination: Transformations can combine, in order, to create the mapped image.

Steps to Solve:

1. Graph and Analyze Initial and Final Positions:

   • The given transformations suggest mapping $\triangle ABC$ to $\triangle GHI$ via reflections, rotations, translations, or combinations.
   • To determine the best sequence of transformations, check the location and orientation of $\triangle GHI$ compared to $\triangle ABC$.

2. Sequence of Transformations:

   • Option A: Reflection across the $y$-axis followed by a rotation around the origin.
   • Option B: Reflection across the $x$-axis followed by a leftward translation of 4 units.
   • Option C: Rotation around the origin followed by a reflection across $x = 1$.
   • Option D: Rotation around the origin followed by a downward translation of 6 units.

3. Matching the Description:

   • If $\triangle GHI$ is in the opposite orientation, reflections are involved.
   • Translations determine the final location relative to $\triangle ABC$.

Would you like to provide coordinates or a graph for $\triangle ABC$ and $\triangle GHI$? That will help verify which sequence works best! Let me know.

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Meanwhile, consider these related questions:

1. What is the definition of each transformation type?
2. How does reflection affect coordinates?
3. What role does rotation play in changing orientation and position?
4. How can translation alone reposition a figure?
5. What happens when transformations are combined?

Tip: For reflections, remember the rule: Across the $x$-axis changes the $y$-value sign, and across the $y$-axis changes the $x$-value sign.