document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31170>Question 31170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I've been asked by my teacher to solve the following proof:\r<BR>\n" );
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document.write( "Prove: If two parallel lines are cut by a transversal, then bisectors of corresponding angles are parallel.\r<BR>\n" );
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document.write( "I have tried this problem over and over but I cant seem to picture it. Therefore I'm having problems solving it. Please help! Thank You. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328324 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let lines AB and CD be parallel lines.<BR>\n" );
document.write( "Let transversal EF cross AB and CD. <BR>\n" );
document.write( "Let angle 1 and angle 2 be corresponding angles formed by EF crossing lines AB and CD.<BR>\n" );
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document.write( "Statement:  Angle 1 is congruent to angle 2. <BR>\n" );
document.write( "Reason: Theorem, if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.<BR>\n" );
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document.write( "Statement: 1/2 angle 1  = 1/2 angle 2 (They are congruent).<BR>\n" );
document.write( "Reason: Definition of Bisector.<BR>\n" );
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document.write( "Statement: The bisectors of angles 1 and angle 2 are parallel.<BR>\n" );
document.write( "Reason. Theorem, if 2 lines cut be a tranversal form a pair of corresponding angles with the transversal, then the lines are parallel.<BR>\n" );
document.write( "Cleomenius.<BR>\n" );
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