document.write( "Question 1153338: verify that line nq is parallel to line pr using the converse of the triangle proportionality theorem\r
\n" ); document.write( "\n" ); document.write( "http://prntscr.com/razb37 \n" ); document.write( "

Algebra.Com's Answer #775547 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.\r
\n" ); document.write( "\n" ); document.write( "first:
\n" ); document.write( " $\"8%2F6=16%2F12\"$
\n" ); document.write( " $\"4%2F3=4%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( " $\"nq%3Aqm=pr%3Arm\"$
\n" ); document.write( " $\"nq%3A%288%2B6%29=pr%3A6\"$
\n" ); document.write( " $\"nq%3A14=pr%3A6\"$
\n" ); document.write( " $\"nq%2Fpr=14%2F6\"$
\n" ); document.write( " $\"nq%2Fpr=7%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"nm%3Anq=pm%3Apr\"$
\n" ); document.write( " $\"%2812%2B16%29%3Anq=12%3Apr\"$
\n" ); document.write( " $\"28pr=12nq\"$
\n" ); document.write( " $\"nq%2Fpr=28%2F12\"$
\n" ); document.write( " $\"nq%2Fpr=7%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"nq\"$ || $\"pr\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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