Final answer:
After a congruence transformation, the area of a triangle would be A. the same as it was before since congruence transformations preserve the size and shape of figures, including their areas.
Step-by-step explanation:
The question asks about the effect of a congruence transformation on the area of a triangle. A congruence transformation, which includes operations such as rotation, reflection, and translation, does not alter the size or shape of a figure. Hence, the area of a triangle after such a transformation would remain unchanged.
When comparing the areas A₁, A₂, and A₃ after different congruence transformations, we can conclude that A₁ = A₂ = A₃, since the areas are preserved through these transformations. This is a fundamental property of congruence transformations in geometry, highlighting that these operations are length-preserving and thus area-preserving as well.
Therefore, the correct option to complete the sentence is:
A. the same as
it was before the transformation.