D -3)capm JjM_3q RQV@QQl *<I( DD[e TO RETURN TO HOMEPAGEGERpRP0)RZpRQV@QQlvQUITIT[6Sh8RQV@QQl Y\ % Yx *h INDUCTIVE PROOFREMENTSTS YX l4<>?>< [l l4<>?>< YXCH_,>?><~Fc R RQV@QQl HCH_ >?>< H l4e #; -N^2Ce1. Line segments AH and 1. Given EF bisect each other at point G 2. G is the midpoint of line 2. Definition of segment segment EF; G is the mid- point of line segment AH 3. AG = HG 3. Definition of midpoints EG = FG 4. ?>< K l45O TWO COLUMN PROOF< HCH_ >?><@K0eHH*U@r] 5RQV@QQl I#zd>?>< I l4 3PARAGRAPH PROOF I >?>< I#`>?>< I @{ s % RQV@QQl* I@ l4<>?><   ?|2v3 The purpose of this proof is to prove that AGF = HGE given that line segments AH and EF bisect each other at point G . Since the line segments bisect each other at G, G is the midpoint of each line, EF and AH. Since G is the midpoint of each line, AG = HG and EG = FG. ?>< HOIа>?><  GIVEN DIAGRAM?>< R  H3>?>< R I_1 <RQV@QQl H l4<>?>< S l4<>?>< 3 PROOF DIAGRAM HCH_>?><SheHHP*r xo RQV@QQlqI RH`I(PD@CD[C? RXi RQV@QQlnJ(HH (`BCBD@?1c  Vc8 RQV@QQlj`J$  n%h @J PHHCCBD@?ܸˍ #d(inARQV@/QQÐlF TJDpJ@ BDI@ w3|8nARQV@/QQÐlE8Hm?<?<NHnHnHm?<N*XO?<HnHnN`Np.J@Vr.ACD@ sYx^nARQV@/QQÐlAgB m PGJnW nW +Vg/ ?<p+^@?N`JnBD@ ' (RQV@QQlaa0IHHR 0 ,  CCC@C؀? RQV@QQlG @ @ $ 6 P*@ P8@( Pd@|t  $CMC׀ sxRQV@QQlO HpS `HGPHx X[(D/ C rX(inA RQV@/QQÐlnJ(HH (`BD@BDI@?vc(8nA RQV@/QQÐlj`J$  n%h @J PHHCD@BDI@?Ubl  RQV@QQlm8 YD Y4   m{!:A}FGA = Angle(FGA) = > ---5J5J1 @@/I@4$HH*  Ta RQV@QQlm60YH ۪U YT  FG = }FGA = Distance(F to G) = > ---5J5J1 @@/I@4$HH* =J RQV@QQlm5SHHp* EG = }FGA = Distance(E to G) = > ---5J5J1 @@/I@4$HH* =J  RQV@QQlm38 S p0 AG = }FGA = Distance(A to G) = > ---5J5J1 @@/I@4$HH* &+%RQV@ QQlU J` IDRjJC1~C/ RX' RQV@QQly@HD  J$ G J0BCCMC׀? _x RQV@QQltH(pH0 @ PH D/ CD/@C?r; RQV@QQls `H0H@ D/ CD/@D?nARQV@/QQÐlG @ @ $ 6 P*@ P8@( Pd@|t  $CMD3> CRQV@QQlH @ @ $ 6 P*@ P8@( Pd@|t  $CD@ $>Kn RQV@QQlm7  m{!:A}EGH = Angle(EGH) = G) = > ---5J5J1 @@/I@4$HH* (Ta  RQV@QQlm43/home.ne3Y$ et-search. Yt  HG = }EGH = Distance(H to G) = > ---5J5J1 @@/I@4$HH*(RX C RQV@QQlac H4HIt0J|BCCD@?( V2 C RQV@QQlab (`SIT CCCD@?( '>,CnARQV@/QQÐlH @ @ $ 6 P*@ P8@( Pd@|t  $CDJ@ (?+ RQV@ QQlAS0RUUesW@JX X CsCe +rX,CnA RQV@/QQÐlac H4HIt0J|BD@CDJ@?+v2,CnA RQV@/QQÐlab (`SIT CD@CDJ@?,~RQV@QQlc4  HIHB0CMC׀BC8?5%F?5%F.nARQV@/QQÐlAS0RUUesW@JX X CsD;P . RQV@ QQlAT ĪUUUUHHHCs)CC 1'RQV@ QQlAUR0H4pC~gCػG 1RQV@ QQlAVB DC'\C^ +1RQV@ QQlAWIHH @CC֛9 1RQV@ QQlAXB DC'IC% 1 TRQV@ Q Qla6oIHH  oPCM~C׀BCG?^eVCsCeCs)CCAAq~?b.436RQV@ Q Qla7j H A 0RCMCBC$<^eVC'\C^C'IC%AMA1~?b567nARQV@/QQÐlAT ĪUUUUHHHCs)D+" 3nARQV@/QQÐlAUR0H4pC~gD4] 4nARQV@/QQÐlAVB DC'\D,/N 5nARQV@/QQÐlAWIHH @CD3M 6nARQV@/QQÐlAXB DC'ID; 7 RQV@#Q Qlp5 R @Ij PCM~C׀BCG?^eVCsCeCs)CCAAq~?b8RQV@#Q Qlp6gG  㬪UUUUCMCBC$<^eVC'\C^C'IC%AMA1~?b9nARQV@/Q QÐla6oIHH  oPCM~D3BCG?^eVCsD;PCs)D+"AAq?b8nARQV@/Q QÐla7j H A 0RCMD3BC$<^eVC'\D,/NC'ID;AMA1?b9nARQV@/Q QÐlp5 R @Ij PCM~D3BCG?^eVCsD;PCs)D+"AAq?b?nARQV@/Q QÐlp6gG  㬪UUUUCMD3BC$<^eVC'\D,/NC'ID;AMA1?b@