Tangent Lines and Circles

Front

What is a tangent line?

Back

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

Front

How many points does a tangent line intersect a circle?

Back

A tangent line intersects a circle in exactly one point.

Front

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

Back

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

Front

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

Back

Front

If a line is tangent to a circle, what can be said about the angles formed with a radius?

Back

The angle formed between the radius and the tangent line at the point of tangency is 90 degrees.

Front

What is the significance of the point of tangency?

Back

The point of tangency is the only point where the tangent line touches the circle, and it is crucial for determining the properties of the tangent.

Front

How can you identify a tangent line in a diagram?

Back

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

Front

What is the difference between a secant line and a tangent line?

Back

A secant line intersects a circle at two points, while a tangent line intersects at exactly one point.

Front

What is the equation of a circle in standard form?

Back

Front

How do you find the length of a tangent segment if given the radius and the distance from the center to the external point?

Back