please solve the above question

Answers
Midpoint theorem.
The three points of a triangle we are going to choose are two midpoints. After we join them, the ratio of two corresponding segments is .
Similarity.
The triangle formed by connecting midpoints is similar to the original triangle, because all corresponding sides have a ratio of , and by SSS similarity postulate.
By midpoint theorem, the similarity ratio of the new triangle to the original triangle is .
As similarity ratio is , the ratio of the shape is
.
So option (c) is correct.
Answer: (C) 4 : 1.
Explaination:
Here, ∆ABC ~ ∆DEF
(As, AB/DE = BC/EF = AC/DF = 2:1 by mid-point theorem.)
And we know,
Ratio of area of ∆s = (Ratio of sides corresponding to the triangles)²
=> ratio = (2/1)² = 4/1 or 4 : 1 (c)
More:
In two similar triangles,
Ratio of sides = ratio of altitudes = ratio of medians = ratio of perimeter = √(ratio of area).