Tangent
Explore key theorems about tangents to circles and solve problems involving radii, angles, and geometric constructions with tangents.
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Learn the fundamental properties of tangents to circles with clear definitions and theorems. Practice a curated set of geometry problems involving tangents, radii, chords, and intersecting lines. Ideal for students prepa…
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Learn the fundamental properties of tangents to circles with clear definitions and theorems. Practice a curated set of geometry problems involving tangents, radii, chords, and intersecting lines. Ideal for students preparing for Olympiad-level maths or anyone looking to deepen their understanding of circle geometry.
Definition. A tangent to a circle is a line that touches the circle at exactly one point.
Theorem 1. If a line passes through a point on a circle and is perpendicular to the radius drawn to that point, then it is a tangent to the circle.
Theorem 2. The radius drawn to the point of tangency is perpendicular to the tangent line.