- Point of Tangency – The point at which a tangent line meets a curve.
- In a circle, the radius ending at the point of tangency is always perpendicular to the tangent line.
- Secant – A line or a line segment that intersects a circle in two points.
- Secant-Secant Angle – The angle formed by the intersection of two secants of the same circle.
- The measure of a secant-secant angle is half the difference of the measures of the intercepted arcs.
- Secant-Secant Theorem – The measure of a secant-secant angle is one-half of the difference between the two intercepted arcs.
- Tangent Line – A line that intersects a circle at exactly one point, known as the point of tangency.
- Tangent-Chord Angle – An angle formed by a tangent and a chord that shares the point of tangency.
- The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.
- Tangent-Tangent Angle – An angle formed by intersecting tangents.
- The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs.
- m means “measure” in degrees
- Inscribed angles are half the measure of their intercepted arcs
- Secants vs Chords
- Secant-Secant Angle
- Secant-Secant Theorem
- Draw chord because you can!
- That chord forms two inscribed angles: 26° and 68°
- Remote Exterior Angles of a Triangle and the Secant-Secant Angle Theorem
- Watch the Video and Copy the Proof in the Template Below
- An important property of a tangent is that it is perpendicular to the radius that shares the point of tangency.
- Tangent vs Secant
- Tangent-Chord Angle
- Tangent-Chord Angle is that the measure of the angle is half the measure of the arc inside it.
- The same concept as an inscribed angle and an intercepted arc.
- Tangent-Tangent Angle
- The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs
- Tangent-Tangent Angle vs Secant-Secant Angle
- Remote Exterior Angles of a Triangle and the Tangent-Tangent Angle Theorem
- Watch and Copy the Proof into the Template Below
- Tangent-Tangent Angle Formula & Rule
- Do the mandatory problems for some great examples!