Question

AB is perpendicular to EC.
If the above statement is true then mention answer as 1, else mention 0 if false

Answer 1

Given: D is mid point of BC. AD produced to E, AD = DE
In $△ABD$ and $△EDC$
$\angle ADB=\angle EDC$ (Vertically Opposite angles)
$BD=CD$ (D is mid point of BC)
$AD=DE$ (Given)
Thus, $△ABD\cong △ECD$ (SAS rule)
Thus, $\angle BAD=\angle DEC$ (By cpct)
Since, these are alternate angles w.r.t AB and EC, thus, $AB\parallel EC$