Properties of Tangents

Explanation

A tangent is a line that touches a circle at exactly one point, called the point of tangency.

Key properties:

• A tangent is perpendicular to the radius at the point of tangency.

• Tangents drawn from the same external point are congruent.

• Tangent–chord angles measure half their intercepted arc.

Quiz (5 Questions)

1. How many points does a tangent touch a circle?

2. What angle is formed between a radius and a tangent?

3. Two tangents from the same external point are always what?

4. True or False: A tangent can pass through the circle.

5. A tangent intersects a chord forming a 60° angle. What is the intercepted arc?

Answer Key

1. One

2. 90°

3. Congruent

4. False

5. 120°