Chords, Secants, Tangents Oh My!

Front

What is a tangent in relation to a circle?

Back

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

Front

What is a secant line?

Back

A secant line is a line that intersects a circle at two points.

Front

Define a chord in a circle.

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is the point of tangency?

Back

The point of tangency is the point where a tangent line touches the circle.

Front

How do you identify a tangent in a diagram?

Back

A tangent can be identified as a line that touches the circle at only one point without crossing it.

Front

What is the relationship between secants and chords?

Back

All chords are secants, but not all secants are chords. A secant intersects the circle at two points, while a chord is a segment between two points on the circle.

Front

What is the formula for the length of a chord given the radius and the angle subtended at the center?

Back

Front

What is the significance of the secant-tangent theorem?

Back

The secant-tangent theorem states that if a tangent and a secant intersect at a point outside the circle, the square of the length of the tangent segment is equal to the product of the lengths of the entire secant segment and its external segment.

Front

How do you find the angle formed by two tangents from a point outside the circle?

Back

The angle formed by two tangents from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The angle formed by two intersecting chords is equal to the average of the measures of the arcs intercepted by the angle and its vertical angle.