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.

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

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

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

Prove that the median from the vertex of an isosceles triangle is the bisector of the vertical angle.

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 .

Prove that in a cyclic trapezium, angles at the base are congruent.

Prove that median from the vertex of an isosceles Triangle is the bisector of the vertical angle

Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.