document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091729>Question 1091729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the graph: https://vallejocity.owschools.com/media/g_geo_ccss_2016/10/geo_10_9_assess_grid_6.gif \r<BR>\n" );
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document.write( "Quadrilateral PQRS is mapped onto its image using which of the following sets of transformations?<BR>\n" );
document.write( "A.) reflection across x = -2; clockwise rotation of 90° about the origin<BR>\n" );
document.write( "B.) reflection across x = 2; clockwise rotation of 90° about the origin<BR>\n" );
document.write( "C.) reflection across y-axis; counter-clockwise rotation of 90° about the origin<BR>\n" );
document.write( "D.) reflection across y-axis; clockwise rotation of 90° about the origin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706896 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it looks very much like a reflection about the line x = -2 and a clockwise rotation of 90 degrees about the origin.\r<BR>\n" );
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document.write( "you should do this in two steps.\r<BR>\n" );
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document.write( "first do the reflection about the line x = -2\r<BR>\n" );
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document.write( "do each point separately.\r<BR>\n" );
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document.write( "the points are:\r<BR>\n" );
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document.write( "P at (-5,5) to (1,5) to (5,-1)<BR>\n" );
document.write( "Q at (-2,5) to (-2,5) to (5,2)<BR>\n" );
document.write( "R at (-1,1) to (-3,1) to (1,3)<BR>\n" );
document.write( "S at (-4,1) to (0,1) to (1,0)\r<BR>\n" );
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document.write( "to first translation is the reflection about the line x = -2.\r<BR>\n" );
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document.write( "the second translation is a rotation of 90 degrees about the origin.\r<BR>\n" );
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document.write( "that would be selection A.\r<BR>\n" );
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document.write( "to illustrate, i took the point (-5,5).\r<BR>\n" );
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document.write( "the first graph is the reflection of the point (-5,5) about the line x = -2\r<BR>\n" );
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document.write( "you can see that the x-coordinate of the point (-5,5) is 3 units to the left of the line x = -2, and the x-coordinate of the point (1,5) is 3 units to the right of the line x = -2.\r<BR>\n" );
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document.write( "the second graph is the rotation of the point (1,5) about the origin.\r<BR>\n" );
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document.write( "you can see that the x-coordinate of the point (1,5) becomes the y-coordinate of the point (5,-1) after its sign is reversed.<BR>\n" );
document.write( "you can also see that the y-coordinate of the point (1,5) becomes the x-coordinate of the point (5,-1).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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