document.write( "Question 408015: Using a coordinate geometry proof, which method below is a correct way to prove a quadrilateral is a rhombus?\r
\n" ); document.write( "\n" ); document.write( "1. Opposite sides have congruent slopes.
\n" ); document.write( "2. The diagonals have the same midpoint, and one pair of opposite sides have equal lengths.
\n" ); document.write( "3. The diagonals have the same length.
\n" ); document.write( "4. The diagonals have the same midpoint and two adjacent sides have the same length.
\n" ); document.write( "

Algebra.Com's Answer #287539 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Using a coordinate geometry proof, which method below is a correct way to prove a quadrilateral is a rhombus?
\n" ); document.write( "
\n" ); document.write( "1. Opposite sides have congruent slopes.
\n" ); document.write( "
\r\n" );
document.write( "No, for that is true of any parallelogram\r\n" );
document.write( "

\n" ); document.write( "2. The diagonals have the same midpoint, and one pair of opposite sides have equal lengths.
\n" ); document.write( "
\r\n" );
document.write( "No, for that's true not only of all parallelograms, but isosceles trapezoids\r\n" );
document.write( "as well.\r\n" );
document.write( "

\n" ); document.write( "3. The diagonals have the same length.
\n" ); document.write( "
\r\n" );
document.write( "No, for that's true of all rectangles and isosceles trapezoids. \r\n" );
document.write( "

\n" ); document.write( "4. The diagonals have the same midpoint and two adjacent sides have the same length.
\n" ); document.write( "
\r\n" );
document.write( "Yes, that's true only for rhombuses.\r\n" );
document.write( "\r\n" );
document.write( "So 4 is the correct choice.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );