document.write( "Question 822137: I have a 2 column proof for my geometry homework, I had another but already figured it out, but this one is still giving me trouble, even after reading over the lesson\r
\n" ); document.write( "\n" ); document.write( "Here's the shape http://i.imgur.com/S6tJc3P.png
\n" ); document.write( "Given: Segment AB || Segment PQ
\n" ); document.write( " Segment AB is congruent to Segment PQ\r
\n" ); document.write( "\n" ); document.write( "Prove: Segment BZ is congruent to Segment ZQ\r
\n" ); document.write( "\n" ); document.write( "Can you help me walk through it? thanks!
\n" ); document.write( "

Algebra.Com's Answer #494638 by LinnW(1048)\"\" \"About 
You can put this solution on YOUR website!
Extend the segments so that there are multiple angles at A , B and C .
\n" ); document.write( "Assign numbers to angles, beginning with angle ABZ. Call
\n" ); document.write( "angle ABZ, angle 1. Around B, label the angles clockwise as angles
\n" ); document.write( "2, 3 and 4.
\n" ); document.write( "Around A, begin with angle ZAB, label it as 5. Label clockwise 6 , 7 and 8.
\n" ); document.write( "Around P, begin with angle ZPQ, label it as 9. Label clockwise 10, 11 and 12.
\n" ); document.write( "Around Q, begin with angle ZQP, label it as 13. Label clockwise 14, 15 and 16.\r
\n" ); document.write( "\n" ); document.write( "Angle 4 = angle 14, corresponding angles of diagonal intersecting || lines.
\n" ); document.write( "Angle 1 = angle 13, supplementary angles.
\n" ); document.write( "Angle 8 = angle 10, corresponding angles of diagonal intersecting || lines.
\n" ); document.write( "Angle 9 = angle 5, supplementary angles.
\n" ); document.write( "So ABZ is congruent with QPZ , by angle/side/angle.
\n" ); document.write( "BZ congruent with ZQ since these sides are opposite angels 5 and 9 of congruent
\n" ); document.write( "triangles.\r
\n" ); document.write( "\n" ); document.write( "I hope this helps.
\n" ); document.write( "
\n" );