D , E , F are the mid - points of the sides BC , CA and AB respectively of a ∆ABC . Then the ratio of the areas of ∆ DEF and ∆ABC is

D , E , F are the mid - points of the sides BC , CA and AB respectively of a ∆ABC . Then the ratio of the areas of ∆ DEF and ∆ABC is
1). $\frac{1}{2}$
2). $\frac{1}{4}$
3). $\frac{1}{8}$
4). $\frac{1}{16}$

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