MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
Given any angle ∠XOY in a plane, a ray OP is said to bisect the angle if ∠XOP=∠POY.
(a) Construct a ray OP that bisects ∠XOY.
(b) Prove that the two angles formed, ∠XOP and ∠POY, are indeed equal.
(c) Demonstrate that no second ray other than OP can divide ∠XOY into two equal parts, thereby establishing the uniqueness of the angle bisector.