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Check the picture.
Note that reflecting triangle ABC with respect to the x-axis, and translating it 3 units down, mapps it perfectly to A'B'C'.
Thus, the answer is: <span>△ABC is congruent to △A′B′C′ because you can map
</span>
△ABC to △A′B′C′ using a reflection across the x-axis followed by a translation 3 units down, which is a sequence of rigid motions.
Note that reflecting triangle ABC with respect to the x-axis, and translating it 3 units down, mapps it perfectly to A'B'C'.
Thus, the answer is: <span>△ABC is congruent to △A′B′C′ because you can map
</span>
△ABC to △A′B′C′ using a reflection across the x-axis followed by a translation 3 units down, which is a sequence of rigid motions.