Properties of Circles: Tangents and Perpendicularity

This video tutorial explores the properties of circles, focusing on tangents and their unique characteristics. It begins by differentiating between secant and tangent lines, then delves into a theorem stating that a tangent is perpendicular to the radius at the point of tangency. The theorem is proven using contradiction. The video also covers the tangent segments theorem, which states that tangent segments from an external point are congruent. An example problem is solved to illustrate these concepts.

What does the theorem state about tangent segments to a circle from an external point?

How do you find the value of x when given two tangent segments that intersect at an external point?