Geometry · Circles

Tangent (Circle)

HSG-C.A.2

Definition

A line that touches a circle at exactly one point, perpendicular to the radius at that point.

Examples

  • A tangent line touches the circle at one point and never crosses into it.
  • The radius drawn to the point of tangency is always perpendicular to the tangent line.

Key rule

A tangent line always meets the radius at a 90 degree angle at the point of contact.

Memory hook

Touches once, perpendicular to the radius there.