Yes , it is a true statement that if a If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
Consider a line AB bisected at point M .
∠Q MB=∠A M Q=90°
Consider a point Q on the angle bisector of line
In ΔQMB and ΔAMQ
∠QMB = ∠AMQ=90°
MQ is common.
As QM is perpendicular Bisector, so AM=MB
ΔQMB ≅ ΔAMQ [SAS]
QA=QB [CPCT]
