D, E and F are the mid points of the sides BC, CA and AB

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D, E and 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. 1/2
2. 1/4
3. 1/8
4. 1/16

Correct Option: B

EF || CB and FE = 1/2 BC
∆DFE ~ ∆ABC

∴	Area of ∆DEF	=	EF²
	Area of ∆ABC		BC²

=	EF²	=	1
	4EF²		4