# Tangents and chords

**The tangent and the radius**

The angle between the tangent and the radius is 90º at the point of contact.

**Two tangents from a point**

For tangents to a circle, the distance from the point where they touch the circumference to the point where they meet is equal.

**The perpendicular from the centre to a chord**

The perpendicular from the centre of a circle to a chord bisects the chord.

**The alternate segment theorem**

The angle between a tangent and a chord is equal to the angle in the alternate segment.