Given that IFG = HGF and I= H, show that FJI = GJH. A. There is not enough information to show that FI E GJH, because we do not know whether
Fi and GH are congruent.
B. Since FG GH by the reflexive property of congruence, IFG - HGF by AAS. Therefore,
FI = GJ by CPCTC. Since FJIE ZGJH because they are vertical angles, AFJI E AGJH by
AAS.
C. Since FG GF by the reflexive property of congruence, AIFG - AHGF by AAS. Therefore,
FIGH by CPCTC. Since ZFJIE ZGJH because they are vertical angles, AFJI = AGJH by
AAS.
D. Since FG GF by the symmetric property of congruence, AIFG = AHGF by SAS. Therefore,
FIGH by CPCTC. Since ZFJI: ZGJH because they are vertical angles, AFJI = AGJH by
AAS