10pts

part a: write the sequence of transformations that changes figure abcd to figure a'b'c'd'. explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

part b: are the two figures congruent? explain your answer. (4 points)

A).  To go from ABCD to A'B'C'D' takes two transformations.

Step-1 :  Reflect the original figure around the x-axis.

Step-2 :  Slide the new figure 7 units to the right.

See the attached drawing.  It shows the whole process
including the intermediate status and coordinates of
the four points after Step-1.  You'll love it.

B).  I looked up a definition of 'congruent'.   It said that two figures 
are congruent if they have have the same shape and size after 
being moved, rotated, or reflected.  (I was worried about the 
'reflected' part.)