document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886259>Question 886259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is a complete understanding of two-dimensional geometry necessary for an understanding of three-dimensional geometry? Why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535795 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Geometry is all about shapes and their properties. These shapes can be 0, 1, 2, or 3 dimensions.  Even more dimensions are possible - consider calculus on manifolds.<BR>\n" );
document.write( "Examples<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "0 dimension is a point<BR>\n" );
document.write( "1 dimension is a line<BR>\n" );
document.write( "2 dimensions is a plane (we see triangles, circles, parabolas, squares, rectangles, hyperbolas, polygons, etc.)<BR>\n" );
document.write( "3 dimensions is solids (we see prisms, pyramids, cubes, sphere, cylinder, etc)<BR>\n" );
document.write( "In geometry understanding the shapes of a particular dimension builds on the understanding of the previous dimensions.  So yes, understanding 2 dimensional geometry is required before understanding 3-D geometry. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );