10.1 properties of tangents

Front

What is the center of a circle?

Back

The center of a circle is the point that is equidistant from all points on the circle's circumference.

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

What is a point of tangency?

Back

A point of tangency is the point where a tangent line touches the circle.

Front

What is a common tangent?

Back

A common tangent is a line that is tangent to two circles at two distinct points.

Front

What is 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, where the tangent segment is one leg, the radius is the other leg, and the distance from the point to the center is the hypotenuse.

Front

If a tangent and a radius meet at the point of tangency, what is the relationship between them?

Back

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

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

Front

How do you solve for x in tangent-related problems?

Back

Use the properties of tangents, such as the Pythagorean theorem or angle relationships, to set up equations and solve for x.