EXPLAIN 1 Determining if Figures are congruent Read Explain 1 and complete Your Turn 1 2 adapted from Lesson 3 2 and complete the following A way to determine if two geometric figures are congruent is to show that one figure maps onto the other by a sequence of rigid motions such as a sequence of reflections translations and or rotations This was practiced in Lesson 3 1 Sequences of Transformations First practice with just one transformation Example The figures shown are congruent Find a rigid motion that maps one figure to the other Give coordinate notation for the transformations you use 2 AABC AXYZ CDEF JKLM The answer is B D 8 4 8 E L 0 4 y M 8 4 8 Part 1 Figure CDEF can be mapped onto JKLM by A Rotation B Reflection C Translation OD The figures are not congruent Part 2 The coordinate notation is x y x y a reflection across the y axis 8 Y 0 4 ty X 8 N C B A Part 1 Figure ABC can be mapped onto XYZ by A Rotation The answer is A Part 2 The coordinate notation is x y y x a rotation of 90 B Reflection DC Translation OD The figures are not congruent