document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202939>Question 1202939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the two figures are congruent and explain your answer using transformations. (10 points)\r<BR>\n" );
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document.write( "Figure ABCD is shown. A is at negative 1, 1. B is at negative 3, 2. C is at negative 4, 4. D is at negative 2, 6. Figure EFGH is shown. E is at 2, 0. F is at 4, 1. G is at 5, 3. H is at 3, 5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838164 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor didn't draw either figure correctly....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-6%2C6%2C-2%2C10%2C%0D%0Aline%28-5%2C0%2C5%2C0%29%2Cline%280%2C-1%2C0%2C8%29%2C%0D%0Agreen%28line%28-1%2C1%2C-3%2C2%29%29%2Cgreen%28line%28-3%2C2%2C-4%2C4%29%29%2Cgreen%28line%28-4%2C4%2C-2%2C6%29%29%2Cgreen%28line%28-2%2C6%2C-1%2C1%29%29%2C%0D%0Ared%28line%282%2C0%2C4%2C1%29%29%2Cred%28line%284%2C1%2C5%2C3%29%29%2Cred%28line%285%2C3%2C3%2C5%29%29%2Cred%28line%283%2C5%2C2%2C0%29%29%2C%0D%0Alocate%28-1%2C1%2CA%29%2Clocate%28-3%2C2%2CB%29%2Clocate%28-4.2%2C4%2CC%29%2Clocate%28-1.8%2C6%2CD%29%2C%0D%0Alocate%282%2C0%2CE%29%2Clocate%284%2C1%2CF%29%2Clocate%285%2C3%2CG%29%2Clocate%282.6%2C5%2CH%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "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><BR>\n" );
document.write( "I will do a horizontal flip (about the y axis) and then a translation.<br><BR>\n" );
document.write( "(1) Reflect about the y axis:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-6%2C6%2C-2%2C10%2C%0D%0Aline%28-5%2C0%2C5%2C0%29%2Cline%280%2C-1%2C0%2C8%29%2C%0D%0Agreen%28line%28-1%2C1%2C-3%2C2%29%29%2Cgreen%28line%28-3%2C2%2C-4%2C4%29%29%2Cgreen%28line%28-4%2C4%2C-2%2C6%29%29%2Cgreen%28line%28-2%2C6%2C-1%2C1%29%29%2C%0D%0Ared%28line%282%2C0%2C4%2C1%29%29%2Cred%28line%284%2C1%2C5%2C3%29%29%2Cred%28line%285%2C3%2C3%2C5%29%29%2Cred%28line%283%2C5%2C2%2C0%29%29%2C%0D%0Alocate%28-1%2C1%2CA%29%2Clocate%28-3%2C2%2CB%29%2Clocate%28-4.2%2C4%2CC%29%2Clocate%28-1.8%2C6%2CD%29%2C%0D%0Alocate%282%2C0%2CE%29%2Clocate%284%2C1%2CF%29%2Clocate%285%2C3%2CG%29%2Clocate%282.6%2C5%2CH%29%2C%0D%0Ablue%28line%281%2C1%2C3%2C2%29%29%2Cblue%28line%283%2C2%2C4%2C4%29%29%2Cblue%28line%284%2C4%2C2%2C6%29%29%2Cblue%28line%282%2C6%2C1%2C1%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "The two figures are congruent.<BR>\n" );
document.write( "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><BR>\n" );
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