Segments: tangents, chords and secants

Front

What is a tangent in relation to a circle?

Back

A tangent is a line that touches a circle at exactly one point.

Front

Define a chord in a circle.

Back

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

Front

What is a secant line?

Back

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

Front

How do you find the length of a tangent segment from a point outside the circle?

Back

The length of the tangent segment can be found using the Pythagorean theorem.

Front

What is the relationship between a tangent and a radius at the point of tangency?

Back

The tangent is perpendicular to the radius at the point of tangency.

Front

If two chords intersect inside a circle, how do you find the lengths of the segments?

Back

The products of the lengths of the segments of each chord are equal.

Front

What is the formula for the length of a chord given the radius and the distance from the center to the chord?

Back

Length of chord = 2 * √(r² - d²), where r is the radius and d is the distance from the center.

Front

State the Tangent-Secant Theorem.

Back

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 secant segment and its external segment.

Front

What is the measure of an angle formed by two tangents drawn from a point outside the circle?

Back

The angle is half the difference of the measures of the intercepted arcs.

Front

How do you calculate the angle formed by two chords that intersect inside a circle?

Back

The angle is equal to half the sum of the measures of the intercepted arcs.