Answer:
Step-by-step explanation:
It seems that the formatting in your question is a bit confusing, but I'll try to help you understand the sequence of transformations to map triangle ABC to triangle A'B'C'.
The standard notation for transformations is as follows:
1. **\(R_\theta\):** Rotation by an angle \(\theta\) about the origin.
2. **\(T_{a, b}\):** Translation by vector \((a, b)\).
3. **\(S_{k}\):** Scaling by a factor \(k\).
4. **\(R_{\theta, (h, k)}\):** Rotation by an angle \(\theta\) about point \((h, k)\).
Now, let's try to decipher the sequence of transformations. Please provide clearer information about the sequence of transformations you have in mind or any specific details, and I'll be happy to assist you further.