A statement of Assertion (A) is followed by a statement of Reason (R). Estimate the correct option.
Assertion (A) :Consider trapezium
\(
ABCD\) where
\(
AB\) and
\(
CD\) are parallel. A line segment
\(
EF\) is drawn parallel to
\(AB\), meeting
\(
AD\) at
\(
E\) and
\(
BC\) at
\(
F\). Then \(\frac{AE}{ED}=\frac{BF}{FC}\).
Reason (R) : Every line parallel to the two parallel sides of a trapezium creates proportional segments on the non-parallel sides.