To show how AAS follows from the definition of congruence, answer the following question. What rigid transformation maps △A"B"C"→△DEF ?

To determine the rigid transformation that maps triangle ( \triangle A"B"C" ) to triangle ( \triangle DEF ), we need to consider what a rigid transformation is. Rigid transformations include translations, rotations, and reflections, but not dilations, since dilations change the size of the figure.

Since the option that does not apply here is dilation, we have three possible rigid transformations: reflection, rotation, or translation.

Without further specifics about the location and orientation of triangles ( \triangle A"B"C" ) and ( \triangle DEF ), it is difficult to definitively choose one transformation over another. However, if both triangles are congruent (which they are by definition of congruence), any of these transformations could theoretically map one triangle to the other depending on their configurations.

If you have a specific configuration in mind or any visual representation, that would help narrow it down to a specific transformation. If we are to choose based solely on the definitions of the transformations:

• Reflection: Flips the triangle over a line, creating a mirror image.
• Rotation: Turns the triangle around a point.
• Translation: Slides the triangle without rotating or flipping.

In the context where you haven’t provided any specific relationships between the triangles, we cannot definitively determine the answer.

If we're just selecting one rigid transformation generally applicable to triangles, the answer could go either way. But for a generic scenario, translation is often the most common response since it accounts for the simplest movement aligning two congruent figures.

So, translation is a reasonable answer unless more information is provided about the specific placement of the triangles.