document.write( "Question 894518: Prove that the points P (0, -4), Q (6,2), R (3,5) and S (-3, -1) are the vertices of a rectangle PQRS. \n" ); document.write( "

Algebra.Com's Answer #542101 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) You could show opposites sides are equal length
\n" ); document.write( "2) You could show that angles are 90 degrees ie sides are perpendicular
\n" ); document.write( "3) You could show opposite sides are parallel.
\n" ); document.write( "I will show 2 and 3
\n" ); document.write( " P (0, -4), Q (6,2)
\n" ); document.write( "y= 1x-4 pq
\n" ); document.write( ", R (3,5) and S (-3, -1)
\n" ); document.write( "y= 1x+2 rs
\n" ); document.write( "pq and rs are parallel
\n" ); document.write( " r
\n" ); document.write( "s
\n" ); document.write( " q
\n" ); document.write( " p \r
\n" ); document.write( "\n" ); document.write( "y= -1x+8 r q\r
\n" ); document.write( "\n" ); document.write( " 0, -4,-3, -1
\n" ); document.write( "y= -1x-4 p s
\n" ); document.write( "from the slope we can see that
\n" ); document.write( "pq and rs are parallel
\n" ); document.write( "rq and ps are parallel\r
\n" ); document.write( "\n" ); document.write( "pq and ps are perpendicular
\n" ); document.write( "rq and pq are perpendicular
\n" ); document.write( "rs and ps are perpendicular
\n" ); document.write( "rs and rq are perpendicular
\n" ); document.write( "we have two sets of parallel lines and 4 right angles \n" ); document.write( "

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