Why is a Line Tangent to a Circle Perpendicular to the Radius at Point of Contact?

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THEOREM# Radius is perpendicular to the tangent at point of contact# proof THEOREM# Radius is perpendicular to the tangent at point of contact# proof
radius drawn at the point of contact is perpendicular to the tangent radius drawn at the point of contact is perpendicular to the tangent
Radius Tangent Proof Radius Tangent Proof
Tangent & Radius are Perpendicular (Proof by Contradiction) Tangent & Radius are Perpendicular (Proof by Contradiction)
Proof: Perpendicular to Radius is Tangent to Circle | Geometry Proof: Perpendicular to Radius is Tangent to Circle | Geometry
Proof: Radius is Perpendicular to Tangent of a Circle | Geometry Proof: Radius is Perpendicular to Tangent of a Circle | Geometry
Line Tangent to a Circle is Perpendicular to the Radius Line Tangent to a Circle is Perpendicular to the Radius
That That's why the radius is perpendicular to the tangent