document.write( "Question 377787: hi im having some trouble with helping my sister with her math homework.. her name is kelly and shes in geometry in middle school. She is currently studying medians altitudes, and perpendicular bisectors... \r
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document.write( "The problem that we need help on is \r
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document.write( "IF THE POINT LIES ON THE PERPENDICULAR BISECTOR OF A SEGMENT, THEN THE POINT IS EQUIDISTANT FROM THE ENDPOINTS OF THE SEGMENT \r
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document.write( "GIVEN: LINE l IS THE PERPENDICULAR BISECTOR OF SEGMENT BC; A IS ON l
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document.write( " PROVE THAT AB IS EQUAL TO AC \n" );
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Algebra.Com's Answer #268466 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! here's the strategy \n" ); document.write( "you can fill in all the little details for a \"formal\" proof\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let M be the point of intersection of BC and the bisector\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BM equals MC ___ definition of bisector (given)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angle BMA equals (congruent) angle CMA ___ right angles formed by the perpendicular are equal \n" ); document.write( "(perpendicular is given)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AM equals AM (itself) ___ reflection identity\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so triangle BMA equals (congruent) triangle CMA ___ SAS\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB equals (congruent) AC ___ Corresponding Parts of Congruent Triangles are Congruent \n" ); document.write( " |