Translation
Explanation:
Rigid motion occurs when you move figures without affecting the size or shape in order for the figure to be congruent in a new location.
The types of rigid motions are:
- Reflections
- Translations (We will use it in this problem)
- Rotations
In this problem, you haven't provided any figure, but I've attached one below. As you can see, we have a triangle ΔABC that has been translated to a new location in order to match triangle ΔDEF. So any point (x, y) on the triangle is mapped following this rule:
[tex](x,y) \rightarrow (x+8,y+2)[/tex]
So the new vertices D,E,F will be:
[tex]A(-6,2) \rightarrow D(-6+8,2+2)=\boxed{D(2,4)} \\ \\ B(-6,6) \rightarrow E(-6+8,6+2)=\boxed{E(2,8)} \\ \\ C(-2,2) \rightarrow F(-2+8,2+2)=\boxed{F(6,4)}[/tex]
Learn more:
Shifting graphs: https://brainly.com/question/10010217
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