Question

In the figure given below$,AF=DF$ and $AB//FE//DC.$
then $:$ $FP=\frac{1}{2}AB$

If the above statement is true then mention answer as 1, else mention 0 if false

Answer 1

In $△FDP$ and $△ADB$,
$\angle ADB=\angle FDP$ (Common angle)
$\angle DAB=\angle DFP$ (Corresponding angles)
$\angle DBA=\angle DPF$ (Corresponding angles)
Thus, $△FDP\sim △ADB$ (AAA rule)
hence, $\frac{FP}{AB}=\frac{FD}{AD}$
$\frac{FP}{AB}=\frac{1}{2}$ (Since, AF = FD)
or $FP=\frac{1}{2}AB$