document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957551>Question 957551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> kylee is using her laptop to collect some images for a project.she has one rectangular image that measures 4.8cm by 6.2cm.kylee then enlarges the image so it now measures 16.8cm by 21.7cm.<BR>\n" );
document.write( "(a) what is the scale factor of this enlargement (i think it is 3.5 )<BR>\n" );
document.write( "Later kylee finds the image is now too big.she clicks the mouse to reduce the image to 7.2cm by 9.3cm.<BR>\n" );
document.write( "(b) what is the scale factor of this reduction of the enlarged image used in part (a)<BR>\n" );
document.write( "(c) overall,has the image been enlarged or reduced?find the scale factor for this overall change.<BR>\n" );
document.write( "(d) if the original image changes from 4.8cm to 10.2cm,but the width remains the same as before,does this make it a true enlargement of the original image. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585203 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=585203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> she starts at 4.8 by 6.2 and it now measures 16.8 by 21.7\r<BR>\n" );
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document.write( "the vertical to horizontal ratio is 4.8 / 6.2 = .7741935484\r<BR>\n" );
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document.write( "the vertical scale factor is 16.8 / 4.8 = 3.5\r<BR>\n" );
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document.write( "the horizontal scale factor is 21.7 / 6.2 = 3.5\r<BR>\n" );
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document.write( "since both scale factors are the same, the enlarged image has the same proportions as the original image.\r<BR>\n" );
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document.write( "the vertical to horizontal ratio is 16.8 / 21.7 = .7741935484\r<BR>\n" );
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document.write( "she reduces the image to 7.2 by 9.3\r<BR>\n" );
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document.write( "the vertical scale factor is 7.2 / 16.8 = .4285714286\r<BR>\n" );
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document.write( "the horizontal scale factor is 9.3 / 21.7 = .4285714286\r<BR>\n" );
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document.write( "since both scale factors are the same, the reduced image has the same proportions as the original image and the enlarged image.\r<BR>\n" );
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document.write( "the vertical to horizontal ratio is 7.2 / 9.3 = .7741935484\r<BR>\n" );
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document.write( "the original image is 4.8 by 6.2\r<BR>\n" );
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document.write( "the final image is 7.2 by 9.3\r<BR>\n" );
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document.write( "the overall change in the size of the image is an enlargement.\r<BR>\n" );
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document.write( "the overall scale factor is:\r<BR>\n" );
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document.write( "vertical from 4.8 to 7.2 = scale factor of 1.5\r<BR>\n" );
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document.write( "horizontal from 6.2 to 9.3 = scale factor of 1.5\r<BR>\n" );
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document.write( "the scale factor for vertical and horizontal is the same so the image is still in proportion.\r<BR>\n" );
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document.write( "the original image is 4.8 by 6.2\r<BR>\n" );
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document.write( "the modified image is 10.2 by 6.2\r<BR>\n" );
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document.write( "the vertical scale factor is 10.2 / 4.8 = 2.125\r<BR>\n" );
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document.write( "the horizontal scale factor is 6.2 / 6.2 = 1\r<BR>\n" );
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document.write( "the resulting picture will not be a true enlargement because the picture is not in proportion any longer.\r<BR>\n" );
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document.write( "a true enlargement only changes the size.\r<BR>\n" );
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document.write( "it doesn't change any of the relationships between the parts.\r<BR>\n" );
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document.write( "that's my understanding.\r<BR>\n" );
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document.write( "the two figures are geometrically similar if they are proportional.\r<BR>\n" );
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document.write( "that means the size is changed but not the shape.\r<BR>\n" );
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document.write( "the last example changes the shape so it is not a true enlargeement.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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