The congruence transformation that maps AANM to AVDG is a rotation of 270 degrees around the origin.
To find a congruence transformation that maps AANM to AVDG, we need to look at the three types of congruence transformations: translations, reflections, and rotations.
Translations: A translation moves a shape by a certain distance in a certain direction.
To translate AANM to AVDG, we would need to move it to the right by 2 units and up by 1 unit.
Reflections: A reflection flips a shape over a line. To reflect AANM to AVDG, we would need to reflect it over the y-axis.
Rotations: A rotation turns a shape around a point. To rotate AANM to AVDG, we would need to rotate it 270 degrees around the origin.
Since AVDG is to the right and up from AANM, we know that the transformation must include a translation.
However, if we just translate AANM, the points will not be in the same order as AVDG.
Therefore, the transformation must also include a rotation or reflection.
The only way to get AVDG to match AANM after a translation is to rotate it 270 degrees.
Therefore, the congruence transformation that maps AANM to AVDG is a rotation of 270 degrees around the origin.