To describe a sequence of transformations, that maps triangle, ABC onto triangle, ABC, a student starts with a reflection over the X axis. How should the student complete the sequence of traffic transformations to Map triangle ABC onto triangle ABC

1 answer

After reflecting over the X-axis, the student should perform a reflection over the Y-axis to map triangle ABC onto triangle ACB. Then, the student should perform a rotation of 180 degrees about the origin to map triangle ACB onto triangle CBA. Finally, the student should perform a reflection over the line y= -x to map triangle CBA onto triangle ABC. The sequence of transformations is:

1. Reflection over the X-axis
2. Reflection over the Y-axis
3. Rotation of 180 degrees about the origin
4. Reflection over the line y= -x