To determine the correct congruence transformation that changes triangle \( AABC \) to triangle \( ADEF \), let's evaluate the transformations provided:
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Rotated -180° (or 180°) then shifted 2 units right and 2 units up: A rotation of 180° would effectively flip the triangle upside down and then moving the triangle would keep its congruency; however, we need to see if this matches the changes in the points.
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Shifted 2 units to the left and 2 units up, then reflected across the y-axis: This transformation would be a combination of a translation left and an upward movement, followed by a reflection, altering the orientation significantly.
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Shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise): A right movement and an upward movement followed by rotation also alters the orientation but needs to be checked with the coordinates to see if they match.
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Reflected across the y-axis, then shifted 2 units to the right and 2 units up: The reflection across the y-axis will change the x-coordinates negatively, and the subsequent shift would move the triangle positively to the right and up.
Without exact coordinates, we cannot definitively match which transformation results in \( ADEF \) from \( AABC \). However, if we assume traditional graph placements:
If \( ADEF \) has an orientation and position that was reflected across the y-axis from its original, then the fourth transformation makes logical sense as the first action flips orientation, and the second applies a position change.
Given these evaluations, the most likely transformation is:
AABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.