证明:(1)∵AB⊥BE,DE⊥BE.
∴∠ABC=∠DEF
又∵AB=DE,BF=CE.
∴△ABC≌△DEF
(2)∵△ABC≌△DE
∴∠ACB=∠DFE
∴GF=GC
(1)先根据BF=CE证明BC=EF,然后利用“边角边”即可证明△ABC和△DEF全等;
(2)根据全等三角形对应角相等可得∠ACB=∠DFE,再根据等角对等边证明即可.
证明:(1)∵AB⊥BE,DE⊥BE.
∴∠ABC=∠DEF
又∵AB=DE,BF=CE.
∴△ABC≌△DEF
(2)∵△ABC≌△DE
∴∠ACB=∠DFE
∴GF=GC
(1)先根据BF=CE证明BC=EF,然后利用“边角边”即可证明△ABC和△DEF全等;
(2)根据全等三角形对应角相等可得∠ACB=∠DFE,再根据等角对等边证明即可.