Tangentto a Circle
Tangentto a CircleTheorem:A tangentline is alwaysat right anglesto the radiusof
the circleat the pointof tangency.Proof. We will provethis theoremby contradiction.
We start by makinga drawing. is a radiusof the circle. is the centerof the circleand is the
pointof intersectionbetweenthe radiusand the tangentline.
Assumethat the tangentline isnotperpendicularto the radius.