Prove Lines Are Parallel
Subject:
Geometry [1]
Tags:
#OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY?? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? ? ?? ??? 6/#!"5,!29 0ARAGRAPH?PROOF????????v?V>??Li??????i????? ?>?>}?>???v???]?V>??i`?>??>?>}?>???????v? 0/345,!4%???? ? ?#/22%30/.$).'?!.',%3? #/.6%23% )F?TWO?LINES?ARE?CUT?BY?A?TRANSVERSAL? ? ? ? ? ? SO?THE?CORRESPONDING?ANGLES?ARE?? CONGRUENT??THEN?THE?LINES?ARE?? ? ?>?>??i??? &IND?THE?VALUE?OF?X?THAT?MAKES?MIN?? ? ? ??? ????????? 3OLUTION ,INES?M?AND?N?ARE?PARALLEL?IF?THE?? MARKED?CORRESPONDING?ANGLES?? ARE?CONGRUENT? ??X???? ????? ???? ?? 5SE?0OSTULATE????TO?WRITE?AN?EQUATION? ? ?X???? ?n?? 3UBTRACT?? ???FROM?EACH?SIDE? ? X???? ?{?? $IVIDE?EACH?SIDE?BY?? ?? ? 4HE?LINES?M?AND?N?ARE?PARALLEL?WHEN?X???? ?{?? %XAMPLE??? !PPLY?THE?#ORRESPONDING?!NGLES?#ONVERSE ? ???