document.write( "Question 310458: Given: Parallelogram ABCD is inscribed in a circle
\n" ); document.write( "Prove: ABCD is a rectangle\r
\n" ); document.write( "\n" ); document.write( "I was thinking to start out saying that since parallelograms have congruent opposite sides, then the congruent chords would have congruent arcs, but then I got stuck. Could you please help me? I need this answer ASAP.
\n" ); document.write( "

Algebra.Com's Answer #221966 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Solution:\r
\n" ); document.write( "\n" ); document.write( "LBAC= LBCD( opposite angles of a parallelogram are equal)
\n" ); document.write( ".
\n" ); document.write( "LBAC + LBCD = 180° ( opp. angles of a cyclic quadrilateral are supplementary)
\n" ); document.write( ".
\n" ); document.write( "LBAC=LBCD= 90°
\n" ); document.write( ".
\n" ); document.write( "Similarly LABC=LADC=90°
\n" ); document.write( ".
\n" ); document.write( "ABCD is a rectangle ( all the angles are =90°)\r
\n" ); document.write( "\n" ); document.write( "L stands for angle
\n" ); document.write( "
\n" );