A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.

Select all true statements after the rotation.

1.) The image of segment CB and ray CD coincide after rotating because we defined our rotation that way.

2.) Transformations preserve distance so the image of point B and point D are the same distance along the same ray from C, and so the image
of B coincides with D.

3.) The image of segment CB and ray CE coincide after rotating because we defined our rotation that way.

4.) The rotation would also make A coincide with E. So there is a rigid motion that takes triangle ABC onto triangle EDC, and so triangleABC = triangle ECD.

5.) The rotation would also make A coincide with E. So there is a rigid motion that takes triangle ABC onto triangle EDC, and so triangle ABC = triangle EDC.

6.) The rotation would also make A coincide with E. So there is a rigid motion that takes triangle ABC onto triangle CDE, and so triangle ABC= triangle CDE.