Tangents of Circles

Front

What is a tangent line to a circle?

Back

A tangent line is a straight line that touches the 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

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

Back

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

Front

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

Back

Front

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

Back

The measure of the angle formed by two tangents drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the relationship between two tangent segments drawn from the same external point?

Back

Two tangent segments drawn from the same external point to a circle are equal in length.

Front

How do you find the perimeter of a circle segment formed by a tangent and a chord?

Back

The perimeter of the segment can be found by adding the lengths of the tangent segment and the chord.

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 angles and lengths related to the circle.

Front

What is the definition of a secant line?

Back

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