document.write( "Question 1036700: PQRS is a quadrilateral of which the diagonals PR and QS intersect at X so that PX=XQ and the sides PQ,SR are parallel. Prove that XS=XR \n" ); document.write( "
Algebra.Com's Answer #651421 by Edwin McCravy(20054)\"\" \"About 
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document.write( "1. ΔPXQ is isosceles           1. PX = XQ        \r\n" );
document.write( "2. ∠XPQ = ∠XQP                2. base angles of isosceles ΔPXQ\r\n" );
document.write( "3. ∠XPQ = ∠XRS                3. alternate interior angles when\r\n" );
document.write( "                                  ∥ lines PQ,SR are cut by \r\n" );
document.write( "                                  transversal PR.\r\n" );
document.write( "4. ∠XQP = ∠XSR                4. alternate interior angles when\r\n" );
document.write( "                                  ∥ lines PQ,SR are cut by \r\n" );
document.write( "                                  transversal QS.\r\n" );
document.write( "5. ∠XSR=∠XQP=∠XPQ=∠XRS        5. Things = to = things are = to \r\n" );
document.write( "                                   each other, from steps 4,2,3\r\n" );
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document.write( "6. ΔSXR is isosceles           6. Base angles equal\r\n" );
document.write( "7. XS = XR                     7. Legs of isosceles ΔSXR are equal. \r\n" );
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document.write( "Edwin
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