document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079900>Question 1079900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State how each transformation affects the area <BR>\n" );
document.write( "A triangle had vertices A(2,3), B(5,2), C(5,4). The transformation is (x,y) to (x,2y)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694140 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=694140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A(2,3), B(5,2), C(5,4) are the three given points\r<BR>\n" );
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document.write( "Double each y coordinate to get these corresponding points: A'(2,6), B'(5,4), C'(5,8)\r<BR>\n" );
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document.write( "Note: Points B' and C share the same location\r<BR>\n" );
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document.write( "Plot the set of points on the same grid. We have these two triangles shown below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/qFYmoJC.png\"><BR>\n" );
document.write( "Image generated using <a  rel=nofollow HREF= \"https://www.geogebra.org/\">GeoGebra</a> (free graphing software).\r<BR>\n" );
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document.write( "The base of each triangle is actually the vertical component. If you want, rotate the image 90 degrees to have the triangles flat on one side. \r<BR>\n" );
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document.write( "The base of triangle ABC is segment BC, which is 2 units. The height is perpendicular to the base and goes from segment BC to point A. The height of triangle ABC is 3 units. \r<BR>\n" );
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document.write( "Area of triangle ABC = (1/2)*base*height<BR>\n" );
document.write( "Area of triangle ABC = (1/2)*2*3<BR>\n" );
document.write( "Area of triangle ABC = 0.5*2*3<BR>\n" );
document.write( "Area of triangle ABC = 1*3<BR>\n" );
document.write( "Area of triangle ABC = 3 square units\r<BR>\n" );
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document.write( "Triangle A'B'C' has the base B'C' which is 4 units (notice how it's double that of BC). The height is the same as the previous triangle. The height is 3 units.\r<BR>\n" );
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document.write( "Area of triangle A'B'C' = (1/2)*base*height<BR>\n" );
document.write( "Area of triangle A'B'C' = (1/2)*4*3<BR>\n" );
document.write( "Area of triangle A'B'C' = 0.5*4*3<BR>\n" );
document.write( "Area of triangle A'B'C' = 2*3<BR>\n" );
document.write( "Area of triangle A'B'C' = 6 square units\r<BR>\n" );
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document.write( "Old area = 3 square units<BR>\n" );
document.write( "New area = 6 square units\r<BR>\n" );
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document.write( "The area has been doubled.  </SPAN>\n" );
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