It seems like your message got cut off, and I don't have complete information about the transformations you are referencing. However, I can help explain some common transformations in geometry that could have been involved, especially in relation to Triangle ABC.
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Reflection: A reflection is a transformation that flips a figure over a line (the line of reflection), creating a mirror image. For instance, if Triangle ABC was reflected over the y-axis, the coordinates of the vertices would change signs for the x-coordinates.
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Rotation: A rotation turns a figure around a fixed point at a certain angle. For example, if Triangle ABC was rotated 90 degrees counterclockwise around the origin, the coordinates of the vertices would be transformed according to the rotation rules.
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Translation: A translation moves every point of a figure a constant distance in a specified direction. If Triangle ABC was translated 3 units to the right and 2 units up, you would add 3 to the x-coordinates and 2 to the y-coordinates of the vertices.
If you can provide more specific details about the transformations (such as which line the reflection was over, the angle of rotation, or the translation vector), I can offer more precise help regarding Triangle ABC!