document.write( "Question 1202189: Given: In the figure, RT = RS, PQ // RS
\n" ); document.write( "Prove: PQ = PT\r
\n" ); document.write( "\n" ); document.write( "figure: https://drive.google.com/drive/folders/1o1MhV2q1fgzGErAYwXi37Un70qBGSliq?usp=sharing\r
\n" ); document.write( "\n" ); document.write( "two column proof \n" ); document.write( "
Algebra.Com's Answer #836835 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "\n" ); document.write( " In the figure, RT = RS, PQ // RS\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Prove: PQ = PT\r
\n" ); document.write( "\n" ); document.write( "RT=RS Given. So RTS is an isoscles triangle.
\n" ); document.write( "therefore angle T = angle S ( Isoscles triangle.)........................(1)\r
\n" ); document.write( "\n" ); document.write( "PQ // RS Given
\n" ); document.write( "angle TQP = angle TSR ( corresponding angles)...........................(2)\r
\n" ); document.write( "\n" ); document.write( "From (1) & (2) angle T = angle TQP ( Transitivity)\r
\n" ); document.write( "\n" ); document.write( "Therefore PQ = PT ( Isoscles triangle theorem)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );