document.write( "Question 1121613: If the diagonals of a parallelogram are perpendicular to each other prove that it is a rhombus \n" ); document.write( "

Algebra.Com's Answer #737563 by MathLover1(20850) $\"\"$ $\"About$

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let's say it is a parallelogram $\"ABCD\"$ \r
\n" ); document.write( "\n" ); document.write( "Statements........................................................................................ Reasons
\n" ); document.write( "1.Parallelogram $\"AB\"$ and $\"CD\"$ are perpendicular to each other ......... Given
\n" ); document.write( "2. < $\"AMB\"$ and < $\"CMB\"$ are right angles.............................................. Definition of perpendicular
\n" ); document.write( "3. $\"m\"$ < $\"AMB+=+90\"$ º and $\"m\"$ < $\"CMB+=+90\"$ º ..............................................Definition of right angle
\n" ); document.write( "4. < $\"AMB+\"$ congruent < $\"CMB\"$ ................................................. ...........Definition of congruent angles
\n" ); document.write( "5. $\"AM\"$ is congruent $\"MC+\"$ ........................................................................-Opposite sides of a parallelogram are congruent
\n" ); document.write( "6. $\"BM\"$ is congruent $\"BM\"$ ....................................................................................Reflexive property of congruent
\n" ); document.write( "7. Δ $\"AMB\"$ is congruent Δ $\"CMB\"$ .............................................................. $\"SAS\"$ Postulate
\n" ); document.write( "8. $\"AB\"$ is congruent $\"BC+\"$ .......................................................................... $\"CPOCTAC\"$
\n" ); document.write( "9. Parallelogram $\"ABCD\"$ is a rhombus..........................................Definition of rhombus\r
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