D, E, F are respectively the mid points of ∆ABC. What of the following statements is correct?

Correct option is B

We are given that D, E, and F are the midpoints of sides BC, AC, and AB of triangle ABC. This forms a smaller triangle DEF inside triangle ABC. We need to find the correct relationship between the areas of ΔDEF and ΔABC.
Step-by-Step Explanation:
According to the **Midline Theorem (Triangle Midsegment Theorem)**, if D, E, and F are the midpoints of sides BC, AC, and AB respectively, then triangle DEF is similar to triangle ABC. The sides of triangle DEF are half the length of the corresponding sides of triangle ABC. The ratio of the corresponding sides is therefore 1:2, and the ratio of the areas of similar triangles is the square of the ratio of their corresponding sides.
Since the ratio of the corresponding sides is 1:2, the ratio of the areas is
Hence, the area of triangle DEF is 1/4 of the area of triangle ABC.