# Tangent Conjectures

### Explanation:

A **tangent line** to a circle is any line which intersects the circle in exactly one point. You can think of a tangent line as "just touching" the circle, without ever traveling "inside". A line which intersects a circle in two points is called a **secant line**. Chords of a circle will lie on secant lines.

### The precise statement of the conjecture is:

**Conjecture (***Tangent Conjecture I* ):
Any tangent line to a circle is perpendicular to the radius drawn to the point of tangency.

**Conjecture (***Tangent Conjecture II* ):
Tangent segments to a circle from a point outside the circle are equal in length.

### Interactive Sketch Pad Demonstration:

- Key Curriculum Press can provide demo versions of Geometer's Sketch Pad

- Linked Sketch Pad Demonstrations of the

### Linked Activity:

Please feel free to try the activity sheet associated with this conjecture.

**Next:** Inscribed Angle Conjectures

**Previous:** Chord Bisector Conjecture

**Back:** Conjectures in Geometry Conjecture List or to the Introduction.