There are different possible sequences of transformations that could map triangle ABC onto triangle A''B''C''. Here is one example:
1. Translation: Move triangle ABC to the left by 2 units and down by 1 unit, so that A goes to A'' and B goes to B'' (C would still be outside the image).
2. Rotation: Rotate the translated triangle by 120 degrees counterclockwise around point A'', so that B'' goes to C'' and C'' goes to B''' (a new point outside the original triangle).
3. Reflection: Reflect the rotated triangle across the line that contains points A'' and B''', so that C'' becomes C''' and the image is the final triangle A''B''C''.
Note that there may be other possible sequences of transformations, and some of them may involve different types of transformations or different orders of applying them. However, any valid sequence should result in a congruent and similar triangle to the original one, with the same orientation and relative measurements.
Identify a sequence of transformations that maps triangle ABC on the triangle A”B”C” in the image below
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