document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703159>Question 703159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, my name is Diane, and I needed a bit of help with this proof. \r<BR>\n" );
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document.write( "The Given: Kite ABCD & Line AB is congruent to AD and line CB is congruent to CD\r<BR>\n" );
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document.write( "Prove: Line AC is perpendicular to line BD\r<BR>\n" );
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document.write( "To start, I wrote down the given as step 1, and that's where all I know ends. >.< I think I may have an idea of how this goes, but I'm not sure. I was thinking that I could first prove the center point (point E) congruent to itself, then I could somehow prove the top 2 triangles to be the same. I can't seem to clearly write each step, except I do know, that I would have to prove the that line AC is a angle bisector first, but I can't remember the therorem that proved that. I was wondering if you could help ASAP? \r<BR>\n" );
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document.write( "Thank you so so so so so so so very much~!! If you could help that would be absolutely amazing :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433349 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=433349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looking at triangles ABC and ADC:<BR>\n" );
document.write( "AC is congruent with itself.<BR>\n" );
document.write( "So triangle ABC is congruent with ADC (Side-Side-Side congruency)<BR>\n" );
document.write( "By CPCTC (Corresponding Parts of Congruent Triangles are Congruent),<BR>\n" );
document.write( "angles BAC and DAC are congruent, making AC the bisector of angle BAD.<BR>\n" );
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document.write( "Looking at triangles ABE and ADE:<BR>\n" );
document.write( "AE is congruent with itself.<BR>\n" );
document.write( "AB is congruent to AD (given)<BR>\n" );
document.write( "Angles BAE(=BAC) and DAE(=DAC) are congruent (proven above)<BR>\n" );
document.write( "So triangle ABE is congruent with ADE (Side-Angle-Side congruency).<BR>\n" );
document.write( "By CPCTC, angles BEA and DEA are congruent,<BR>\n" );
document.write( "which makes them right angles, because they add to straight angle BED.<BR>\n" );
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