Lengths of Intersecting Segments, Chords, Secant and Tangent

Given the figure find the length of arc AB.

Tags

CCSS.HSG.C.B.5

What do you call the point of intersection of the tangent line and the circle?

• exterior point

• interior point

• point of intersection

• point of tangency

What is the relationship between the lengths of a secant segment and its external segment?

• The length of the secant segment is smaller than the length of its external segment.

• Product of the lengths of the secant segment and its external segment is equal to the product of the lengths of the two segments formed when the secant intersects the circle.

• The length of the secant segment is greater than the length of its external segment.

• The length of the secant segment is equal to the length of its external segment.

Tags

CCSS.HSG.C.A.2

What is a secant line?

• A secant line is a line that does not intersect the curve at all.

• A secant line is a line that intersects a curve at two or more points.

• A secant line is a line that is parallel to the curve.

• A secant line is a line that intersects a curve at only one point.

What is the relationship between a secant line and a tangent line in a circle?

• A tangent line is a special case of a secant line.

• A secant line is always longer than a tangent line.

• A secant line intersects the circle at two points, while a tangent line intersects the circle at only one point.

• A secant line is a special case of a tangent line.

What are the properties of a chord in a circle?

• A chord in a circle is a line segment that connects three points on the circle.

• A chord in a circle is a line segment that connects two points on the circle.

• A chord in a circle is a line segment that connects the center of the circle to a point on the circumference.

• A chord in a circle is a line segment that connects two nonadjacent points on the circle.

A line that intersects a circle in exactly two points.

• diameter

• central angle

• arc

• secant line

What is the mathematical name given for the line AB?

• Radius

• Diamter

• Tangent

• Chord

What is being represented in the image?

• Tangent

• Concentric Circles

• Exterior Angle

• Secant

If a secant and a tangent intersect at a point outside the circle, how is the tangent length related to the secant?

• The square of the tangent length equals the product of the secant length and its external segment.

• The tangent length is equal to the secant length.

• The tangent length is unrelated to the secant length.

• The tangent length is half the length of the secant.

Tags

CCSS.HSG.C.A.2