Final answer:
The type of transformation that maps ABC onto ABC when ABC is reflected across the line x=-2 to form ABC is Reflection (C). Reflection is a transformation that flips an object over a line. In this case, the line of reflection is x=-2.
Step-by-step explanation:
The type of transformation that maps ABC onto ABC when ABC is reflected across the line x=-2 to form ABC is Reflection (C).
Reflection is a transformation that flips an object over a line. In this case, the line of reflection is x=-2. When ABC is reflected across this line, the vertex B will have the same coordinates in both the original and reflected figure.
For example, if the coordinates of vertex B are (2,4) in ABC, after the reflection, the coordinates of B in ABC will still be (2,4).