1. **Problem Statement:** Given that triangle ABC is congruent to triangle EDF, Priya knows there is a sequence of rigid motions that maps ABC to EDF. We need to determine which statements about the coincidence of segments and angles after the transformation are true. 2. **Understanding Congruent Triangles:** When two triangles are congruent, all corresponding sides and angles are congruent. This means: - Side AB corresponds to side DE - Side BC corresponds to side EF - Side AC corresponds to side DF - Angle A corresponds to angle D - Angle B corresponds to angle E - Angle C corresponds to angle F 3. **Check Each Statement:** - A. Segment AB coincides with segment EF. According to correspondence, AB corresponds to DE, not EF, so this is **false**. - B. Segment BC coincides with segment DF. BC corresponds to EF, not DF, so this is **false**. - C. Segment AC coincides with segment ED. AC corresponds to DF, not ED, so this is **false**. - D. Angle A coincides with angle E. Angle A corresponds to angle D, not E, so this is **false**. - E. Angle C coincides with angle F. Angle C corresponds to angle F, so this is **true**. 4. **Final Answer:** Only statement E is true after the transformations.