Question 1202939
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The other tutor didn't draw either figure correctly....<br>
{{{drawing(400,400,-6,6,-2,10,
line(-5,0,5,0),line(0,-1,0,8),
green(line(-1,1,-3,2)),green(line(-3,2,-4,4)),green(line(-4,4,-2,6)),green(line(-2,6,-1,1)),
red(line(2,0,4,1)),red(line(4,1,5,3)),red(line(5,3,3,5)),red(line(3,5,2,0)),
locate(-1,1,A),locate(-3,2,B),locate(-4.2,4,C),locate(-1.8,6,D),
locate(2,0,E),locate(4,1,F),locate(5,3,G),locate(2.6,5,H)
)}}}<br>
The two figures appear to be congruent. Showing that in fact they are algebraically can be done by seeing how the change from A to B compares to the change from E to F,and so on.  That is an easy task; I won't take the time to do that in my response.<br>
The transformations to get EFGH from ABCD are, in either order, a translation and a horizontal flip.  (Or we could do a different more complicated sequence of transformations....)<br>
I will do a horizontal flip (about the y axis) and then a translation.<br>
(1) Reflect about the y axis:<br>
{{{drawing(400,400,-6,6,-2,10,
line(-5,0,5,0),line(0,-1,0,8),
green(line(-1,1,-3,2)),green(line(-3,2,-4,4)),green(line(-4,4,-2,6)),green(line(-2,6,-1,1)),
red(line(2,0,4,1)),red(line(4,1,5,3)),red(line(5,3,3,5)),red(line(3,5,2,0)),
locate(-1,1,A),locate(-3,2,B),locate(-4.2,4,C),locate(-1.8,6,D),
locate(2,0,E),locate(4,1,F),locate(5,3,G),locate(2.6,5,H),
blue(line(1,1,3,2)),blue(line(3,2,4,4)),blue(line(4,4,2,6)),blue(line(2,6,1,1))
)}}}<br>
From the diagram we can see that the two figures are congruent, and that the second transformation is a translation 1 unit right and 1 unit down.<br>
ANSWERS:
The two figures are congruent.
One sequence of transformation that gets from ABCD to EFGH is (1) reflect about the y axis and (2) translate right 1, down 1<br>