document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300571>Question 300571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with these problems?<BR>\n" );
document.write( "TRUE or FALSE. If the statement is not always true , then answer FALSE.\r<BR>\n" );
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document.write( "1. Through a given point not in a plane m, there is one and only one line parallel to m.\r<BR>\n" );
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document.write( "2. Through a given point on a line, there is one and only one line perpendicular to the given line.\r<BR>\n" );
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document.write( "3. Through a given point on a line, there is one and only one plane perpendicular to the given line.\r<BR>\n" );
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document.write( "4. If a line is parallel to a plane, it is parallel to every line in the plane. \r<BR>\n" );
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document.write( "5. The altitude from the vertex of an isoceles triangle is also a median of the triangle.\r<BR>\n" );
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document.write( "Thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215664 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=215664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. False. Imagine a spinner held above a table. The table would be the plane m while the spinner (which isn't in the plane) can point in any direction but still be parallel to the plane m. So there isn't a unique line that goes the given point (the center of the spinner).\r<BR>\n" );
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document.write( "2. True (assuming we're working in one plane, eg the 2D cartesian coordinate system). This can be shown algebraically.\r<BR>\n" );
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document.write( "3. True. Again, this can be shown algebraically.\r<BR>\n" );
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document.write( "4. False. It is possible to draw a line that lies in the plane, but that is not parallel to the given line. \r<BR>\n" );
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document.write( "5. True. The altitude bisects the base side.  </SPAN>\n" );
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