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As shown in the figure, △ ABC is an equilateral triangle, and points D, e and F are points on line AB, BC and Ca respectively. (1) if ad = be = CF, is △ def an equilateral triangle? (2) if △ DEF is an equilateral triangle, is ad = be = CF true? Try to prove your conclusion
(1) The proof is as follows: ∵ ABC is an equilateral triangle, ∵ a = ≌ B = ≌ C, ab = BC = Ca, and ∵ ad = be = CF, ≌ DB = EC = FA, (2 points) ≌ ADF ≌ bed ≌ CFE, (3 points) ≌ DF = de = ef, that is,
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