10.6 Secants, Tangents, and Angle Measures

Front

What is a secant line?

Back

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

Front

What is a tangent line?

Back

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

Front

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

Back

A tangent line is perpendicular to the radius drawn to the point of tangency.

Front

How do you find the measure of an angle formed by two secants?

Back

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

Front

How do you find the measure of an angle formed by a tangent and a secant?

Back

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

Front

What is the formula for the length of a tangent segment from a point outside the circle?

Back

The length of the tangent segment is equal to the square root of the difference between the square of the distance from the point to the center and the square of the radius.

Front

If two tangents are drawn from a point outside a circle, what can be said about their lengths?

Back

The lengths of the two tangent segments are equal.

Front

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

Back

The angle measure is equal to half the difference of the intercepted arcs.

Front

How do you calculate the angle formed by two secants that intersect outside the circle?

Back

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

Front

What is the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle is equal to half the measure of the intercepted arc.