document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173843>Question 173843</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078652499/algebrahomeworkh>geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write a paragraph proof.<BR>\n" );
document.write( "Given: measure of angle GFI = measure of angle HFJ<BR>\n" );
document.write( "Prove: measure of angle GFH = measure of angle HFI </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129376 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=129376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is the vertical angle theorm. I am assuming in the prove part that you made a typo and that it should be GFH=JFI not GFH=HFI...I am writing this based on that assumption. If this is not correct you are somehow going to have to let us know what this picture looks like.<BR>\n" );
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document.write( "A straight line is 180 degrees making GJ a 180 degree angle. GFI+JFI=180 degrees and GFH+HFJ=180 degrees by the partition postulate which states that the whole is equal to the sum of the parts. GFI congruent to HFJ is given. HFJ+JFI=180 by substitution (GFI=HFJ)<BR>\n" );
document.write( "HFJ+JFI=HFJ+GFH by transitive property. Therefore, JFI is congruent to GFH by the subtraction Postulate. </SPAN>\n" );
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