In Fig. \( \quad \mathrm{AB}\|\mathrm{DE}, \mathrm{AB}=\mathrm{DE}, \mathrm{AC}\| \mathrm{DF} \)...

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In Fig. \( \quad \mathrm{AB}\|\mathrm{DE}, \mathrm{AB}=\mathrm{DE}, \mathrm{AC}\| \mathrm{DF} \) and \( \mathrm{AC}=\mathrm{DF} \). Prove that \( \mathrm{BC} \| \mathrm{EF} \) and \( B C=E F \).
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