Rigid Transformations 4

Here is an applet with 3 congruent L shapes on a grid.

Describe a sequence of transformations that will take Figure A onto Figure B.

If you reverse the order of your sequence, will the reverse sequence still take  onto ?

Describe a sequence of transformations that will take Figure  onto Figure .

If you reverse the order of your sequence, will the reverse sequence still take  onto ?

Construct some examples of sequences of two rigid transformations that take Figure A to a new Figure D where reversing the order of the sequence also takes Figure A to Figure D.

Make some conjectures about when reversing the order of a sequence of two rigid transformations still takes a figure to the same place.