Radius Tangent Flashcard

Front

What is a tangent line?

Back

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

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 value of x if a tangent line to a circle creates an angle of 90 degrees with the radius?

Back

The value of x can be determined using the properties of tangents and circles.

Tags

CCSS.HSG.C.A.2

Front

In a circle, if point O is the center and line segment OA is a radius, what is the relationship between OA and any tangent line at point A?

Back

OA is perpendicular to the tangent line at point A.

Front

What is the formula for finding 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: length = √(d^2 - r^2), where d is the distance from the point to the center and r is the radius.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The two tangent segments are equal in length.

Tags

CCSS.HSG.C.A.2

Front

What is the significance of the point of tangency in relation to the circle?

Back

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

Front

How can you identify a tangent line in a diagram?

Back

A tangent line can be identified as a line that touches the circle at one point without crossing it.