\( \triangle D E F \) is mapped to \( \triangle D^{\prime} E^{\prime} F^{\prime} \) using the rule \( (x, y)->(-x,-y) \) followed by \( (x, y)->(x,-y) \). Which statement correctly describes the relationship between \( \triangle D E F \) and \( \triangle D^{\prime} E^{\prime} F^{\prime} ? \) \( \triangle D E F \) is congruent to \( \triangle D^{\prime} E^{\prime} F^{\prime} \) because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions. \( \triangle D E F \) is congruent to \( \triangle D^{\prime} E^{\prime} F^{\prime} \) because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions. \( \triangle \) DEF is congruent to \( \triangle D^{\prime} E^{\prime} F^{\prime} \) because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.
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