document.write( "Question 1121950: Determine whether the parallelogram is a rhombus, rectangle, square or none. Explain. P(7,-1), Q(3,6), R(-1,-1), S(3,-8)? \n" ); document.write( "

Algebra.Com's Answer #737968 by ikleyn(52793) $\"\"$ $\"About$

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document.write( "Diagonal PR is horizontal y = -1.\r\n" );
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document.write( "Diagonal QS is vertical   x =  3.\r\n" );
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document.write( "The intersection point of the diagonals is  (3,-1)  and it is the midpoint of diagonal PR; it is also the midpoint of diagonal QS.\r\n" );
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document.write( "Hence,  PQRS  is a rhombus.\r\n" );
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document.write( "Diagonal lengths are  8 (PR)  and  14 (QS).  Hence, PQRS is not a rectangle.\r\n" );
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document.write( "Answer.  PQRS is a rhombus; it is NEITHER a rectangle NOR a square.\r\n" );
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