Question

$D$ and $F$ are mid-points of sides $AB$ and $AC$ of a triangle $ABC$. A line through $F$ and parallel to $AB$ meets $BC$ at point $E$. Then $BDFE$ is a :

• A. rhombus
• B. parallelogram
• C. rectangle
• D. data insufficient

Answer 1

Answer: (B)

parallelogram

Given: D and F are mid points of AB and AC. By mid point theorem,
$DF\parallel BC$
Also, $BD\parallel FE$ is given.
Since, Opposite sides are parallel to each other. Hence, $BDFE$ is a parallelogram.