Question

Describe two different sequences of transformations that will map ABCD to EFGH.

Answer 1

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin

Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units


This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5

Or, 
.. reflect across the line y=2.5
.. reflect across the line y=x