Immigrants from bc province in Chongqing

Reason:

AB = AD = AF，AG=AG，∠B=∠AFG=90，

∴rt△abg≌rt△afg(hl)；

2 correct.

Reason:

EF=DE= 13CD=2, let BG=FG=x, then CG = 6-X. 。

According to Pythagorean theorem, (6-x)2+42=(x+2)2 in right-angle △ electrocardiogram,

The solution is x = 3.

∴bg=3=6-3=gc；

③ Correct.

Reason:

CG = BG，BG=GF，

∴CG=GF，

△ FGC is an isosceles triangle, △ GFC = △ GCF.

∵rt△abg≌rt△afg；

∴∠agb=∠agf,∠agb+∠agf=2∠agb= 180-∠FGC =∠GFC+∠GCF = 2∠GFC = 2∠GCF，

∴∠AGB=∠AGF=∠GFC=∠GCF，

∴ag∥cf；

Four mistakes.

Reason:

∫S△GCE = 12GC？ CE= 12×3×4=6

∵GF=3, EF=2, △GFC and △FCE, etc.

∴S△GFC:S△FCE=3:2，

∴S△GFC=35×6= 185≠3.

Therefore, ④ is incorrect.

There are three correct figures.

So choose: C.