71 Tangent QZ

Front

What is a tangent line to a circle?

Back

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

Front

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

Back

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

Front

If line segment AB is tangent to circle C, what can be said about the distance from the center of the circle to line AB?

Back

The distance from the center of the circle to line AB is equal to the radius of the circle.

Front

In a right triangle formed by a tangent line and a radius, how can you find the length of the hypotenuse?

Back

Front

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

Back

Front

How do you determine if a line is tangent to a circle using coordinates?

Back

A line is tangent to a circle if the distance from the center of the circle to the line equals the radius of the circle.

Front

What is the significance of the point of tangency?

Back

The point of tangency is the exact point where the tangent line touches the circle, and it is the only point of contact.

Front

If a tangent and a radius form a right triangle, what can be inferred about the angles?

Back

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

Front

What is the relationship between the lengths of the tangent segments drawn from a common external point?

Back

The lengths of the tangent segments drawn from a common external point to a circle are equal.

Front

How can you find the radius of a circle if you know the length of the tangent segment and the distance from the external point to the center?

Back