document.write( "Question 1190347: Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1) and D(11, -4) on a grid and decide whether the shape is a square or a rhombus. Sammy and Pippa do their slope calculations and Sammy insists the shape is a square whereas Pippa insists the shape is a rhombus.\r
\n" ); document.write( "\n" ); document.write( "Who is right?
\n" ); document.write( "Pipa is right\r
\n" ); document.write( "\n" ); document.write( "Show your calculations in your reasoning!
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Algebra.Com's Answer #821966 by greenestamps(13203)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The calculations (slopes and side lengths) are simple enough that you can do them yourself; there should be no need for me to show them.

\n" ); document.write( "slopes: 5/4, -1/2, 5/4, -1/2 -- so both pairs of opposite sides are parallel

\n" ); document.write( "lengths: sqrt(41), sqrt(45), sqrt(41), sqrt(45) -- the sides are not all the same length

\n" ); document.write( "ANSWER: Neither of them is right -- the figure is neither a square nor a rhombus -- it is a parallelogram

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