document.write( "Question 1152603: Two triangles are drawn on a paper and labeled DEG and POM. The lengths of DE and OM are congruent. The lengths of EG and PM are congruent. What additional piece of information do you need to prove the triangles are congruent by SAS? Draw the triangles in such a way that you are able to prove they are congruent. \n" ); document.write( "

Algebra.Com's Answer #774664 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "With the given info that DE = OM, and that EG = PM, we can draw this out.
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\n" ); document.write( "The segments with the single tickmark are the same length.
\n" ); document.write( "The segments with the double tickmarks are the same length.\r
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\n" ); document.write( "\n" ); document.write( "The angles E and M are between the segments mentioned above. So this is the missing piece of info if we wanted to use SAS.\r
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\n" ); document.write( "\n" ); document.write( "If angle E = angle M, then we can use SAS to prove the triangles congruent.
\n" ); document.write( "More technically, if we knew that angle DEG = angle OMP, then we can use SAS to prove the triangles congruent.\r
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\n" ); document.write( "\n" ); document.write( "Here is an updated drawing
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\n" ); document.write( "If we know the green angles are the same measure, then we can use SAS to prove the triangles congruent.
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