document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196006>Question 1196006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?\r<BR>\n" );
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document.write( "a.(x,y) > (-x, y)<BR>\n" );
document.write( "b.(x,y) > (x+6, y+6)<BR>\n" );
document.write( "c.(x,y) > (6x, 6y)<BR>\n" );
document.write( "d.(x,y) > (-y, x) </SPAN>\n" );
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document.write( "Choice A is a reflection over the y axis<BR>\n" );
document.write( "Choice B is a translation of 6 units to the right and 6 units up<BR>\n" );
document.write( "I'll get back to choice C later<BR>\n" );
document.write( "Choice D is a 90 degree rotation counterclockwise\r<BR>\n" );
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document.write( "Choices A, B and D are rigid transformations. They do not change the size and shape of the figure. <BR>\n" );
document.write( "The preimage and image will be congruent figures.<BR>\n" );
document.write( "So we can rule them out.\r<BR>\n" );
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document.write( "Choice C describes a dilation. <BR>\n" );
document.write( "The jump from (x,y) to (6x,6y) means the points are 6 times further away from the origin than before. <BR>\n" );
document.write( "Consequently it leads to the image being 6 times larger compared to the preimage.<BR>\n" );
document.write( "This size change is enough to conclude congruence has NOT been preserved.\r<BR>\n" );
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document.write( "Answer: Choice C<BR>\n" );
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