document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823853>Question 823853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is a step in constructing a circle circumscribed about a triangle? (5 points)\r<BR>\n" );
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document.write( "Select one:\r<BR>\n" );
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document.write( "a. Construct the perpendicular bisectors of each side. \r<BR>\n" );
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document.write( "b. Construct the angle bisectors of each side. \r<BR>\n" );
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document.write( "c. Use a compass to locate the midpoint of each side. \r<BR>\n" );
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document.write( "d. Use a compass to locate the altitude of each side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495882 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Construct the perpendicular bisectors of each side. <BR>\n" );
document.write( "The perpendicular bisector of a segment (such as the side of a triangle) is the line whose points are at the same distance from both ends of the segment.<BR>\n" );
document.write( "The perpendicular bisectors of the sides of a triangle intersect at one point that is at the same distance from the three vertices.<BR>\n" );
document.write( "Using that distance as the radius, and that intersection point as the center,<BR>\n" );
document.write( "you can construct a circle that passes through the three vertices.<BR>\n" );
document.write( "That is the circle circumscribed about the triangle.<BR>\n" );
document.write( "You do not need to construct all 3 perpendicular bisectors.<BR>\n" );
document.write( "It is enough to construct two of them.<BR>\n" );
document.write( "Where those two intersect, the third one will go through that point too. </SPAN>\n" );
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