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(1) proves that in parallelogram ABCD,

∫AB∨CD,

∴∠BAF=∠CEF,∠ABF=∠ECF,

AB = CD,CE=CD,

∴AB=CE,

At △AFB and △EFC,

∠BAF=∠CEFAB=CE∠ABF=∠ECF,

∴△AFB≌△EFC.

(2) solution: ED = 2CD = 2AB,

∴EDAB=2 1,

∫AB∨CD,

∴DGGB=EDAB=2 1,

∫BD = 12,

∴DG=23BD=8cm,

A: The length of DG is 8 cm.