HG 6.1 Tangents to Circles

Front

What is a tangent to a circle?

Back

A tangent to a circle is a straight line that touches the circle at exactly one point.

Front

How many points does a tangent intersect a circle?

Back

A tangent intersects a circle at one point.

Front

True or False: A tangent can intersect a circle at two points.

Back

False.

Front

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

Back

The radius drawn to the point of contact is perpendicular to the tangent.

Front

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

Back

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

Front

True or False: A tangent line can be drawn from any point outside the circle.

Back

True.

Front

What is the significance of the point of tangency?

Back

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

Front

If two tangents are drawn from a single external point to a circle, what can be said about their lengths?

Back

The lengths of the two tangents from the external point to the circle are equal.

Front

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

Back

Length of tangent = √(distance from point to center² - radius²).

Front

True or False: A line that intersects a circle at two points is a tangent.

Back

False.