Tangents

A tangent to a circle

A tangent to a circle is a straight line that touches the circle at exactly one point, called the point of contact or point of tangency. Unlike secant

The most important property

The most important property: A tangent to a circle is always perpendicular to the radius drawn to the point of contact. This means the angle between t

From any external point

From any external point, exactly two tangents can be drawn to a circle, and these tangents have equal lengths. Construction method: 1) Join the extern

Key angle relationships

Key angle relationships: 1) Angle between two tangents from external point + angle between corresponding radii = 180°, 2) Angle between tangent and ch

Two circles can have common tangents

Two circles can have common tangents - lines that are tangent to both circles. Types include: direct (external) common tangents that don't cross betwe