If perpendiculars from any point with an angle on its arms are congruent, prove that it lies on the bisector of that angle.

In perpendiculars from any point within an angle on its arms are congruent,prove that it lies on the bisector of that angle.

In perpendiculars from any point within an angle on its arms are congruent, prove that it lies on the bisector of that angle.

If perpendiculars from any point within an angle on its forms arms are congruent prove that it lies on the bisector of that angle.

Prove that, angles inscribed in the same are arc congruent.

In any triangle ABC, if the angle bisector of /_A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

In any triangle ABC,if the angle bisector of /_A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC

In any triangle ABC, if the angle bisector of /_A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

In any triangle ABC, if the angle bisector of /_A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

Line l is the bisector of an angleA and B is any point on I. BP and BQ are perpendiculars from B to the arms of angleA (see figure). Show that: BP=BQ or B is equidistant from the arms of angleA .