document.write( "Question 1210360: A quadrilateral, STVR has an exterior angle VRX. Given angle XRV is congruent to angle RST, and angle RSV is congruent to angle TVS, prove that RSTV is a parallelogram. \n" ); document.write( "

Algebra.Com's Answer #852047 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "Given:\r\n" );
document.write( "A quadrilateral, STVR \r\n" );
document.write( "exterior angle VRX.  \r\n" );
document.write( "angle XRV is congruent to angle RST.\r\n" );
document.write( "angle RSV is congruent to angle TVS, \r\n" );
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document.write( "To prove:\r\n" );
document.write( "RSTV is a parallelogram.\r\n" );
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document.write( "1. angle XRV is congruent to angle RST  |  1. given\r\n" );
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document.write( "2. VR is parallel to TS                 |  2. If a transversal, XS, intersects\r\n" );
document.write( "                                        |     two coplanar lines, VR and TS, and\r\n" );
document.write( "                                        |     a pair of corresponding angles--\r\n" );
document.write( "                                        |     namely angles XRV and RST -- are\r\n" );
document.write( "                                        |     congruent, then the two coplanar\r\n" );
document.write( "                                        |     lines, VR and TS, are parallel. \r\n" );
document.write( "                                        \r\n" );
document.write( "3. angle RSV is congruent to angle TVS  |  3. given\r\n" );
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document.write( "4. VT is parallel to RS                 |  4. If a transversal, VS, intersects\r\n" );
document.write( "                                        |     two coplanar lines, VT and RS, and\r\n" );
document.write( "                                        |     the alternate interior angles, RSV\r\n" );
document.write( "                                        |     and TVS are congruent, then the\r\n" );
document.write( "                                        |     the two coplanar lines, VT and RS,\r\n" );
document.write( "                                        |     are parallel.  \r\n" );
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document.write( "5. RSTV is a parallogram.               |  5. The definition of parallelogram:      \r\n" );
document.write( "                                        |     A quadrilateral with each pair of\r\n" );
document.write( "                                        |     opposite sides, (VR and TS), and\r\n" );
document.write( "                                        |     (VT and RS), parallel. \r\n" );
document.write( "                                              \r\n" );
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document.write( "Edwin

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