Secant and Tangent of Circles

Front

What type of angle is formed when a tangent line intersects with a radius of a circle?

Back

A right angle.

Front

What is the definition of a radius in a circle?

Back

The measurement from the center of a circle to an edge of the circle.

Front

What is the relationship between a tangent line and the radius drawn to the point of tangency?

Back

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

Front

What can be concluded if a line is tangent to a circle?

Back

The line does not cross the circle and touches it at exactly one point.

Front

What is the definition of a tangent line?

Back

A line that touches a circle at exactly one point.

Front

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

Back

Use the formula: length of tangent = √(distance from point to center² - radius²).

Front

What is the relationship between secant lines and circles?

Back

A secant line intersects a circle at two points.

Front

What is the definition of a secant line?

Back

A line that intersects a circle at two points.

Front

What is the angle formed between a tangent and a secant that intersects at the point of tangency?

Back

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

Front

What is the tangent-secant theorem?

Back

If a tangent and a secant are drawn from a point outside a 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 part.