Intersection of tangent lines

Front

What is a tangent line?

Back

A tangent line is a straight line that touches a curve at a single point without crossing it.

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 the perimeter of a circle?

Back

The perimeter (circumference) of a circle is given by the formula C = 2πr, where r is the radius.

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 significance of the point of tangency?

Back

The point of tangency is the point where the tangent line touches the circle.

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: if d is the distance from the point to the center and r is the radius, then the length of the tangent segment is √(d² - r²).

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 relationship between two tangent segments drawn from a single external point?

Back

The two tangent segments drawn from a single external point to a circle are equal in length.

Front

How can you determine if a line is tangent to a circle?

Back

A line is tangent to a circle if it intersects the circle at exactly one point.