11/2 Exit Ticket: Geometry Circle Angles

What is an inscribed angle?

• An inscribed angle is an angle formed by two chords in a circle.

• An inscribed angle is an angle formed by two radii in a circle.

• An inscribed angle is an angle formed by a chord and a tangent in a circle.

• An inscribed angle is an angle formed by two tangents in a circle.

What is the relationship between the measure of an inscribed angle and the measure of its intercepted arc?

• The measure of an inscribed angle is half the measure of its intercepted arc.

• The measure of an inscribed angle is equal to the measure of its intercepted arc.

• The measure of an inscribed angle is twice the measure of its intercepted arc.

• The measure of an inscribed angle is unrelated to the measure of its intercepted arc.

Tags

CCSS.HSG.C.A.2

What is a tangent line?

• A tangent line is a line that intersects a curve at multiple points.

• A tangent line is a line that is perpendicular to a curve at a single point.

• A tangent line is a line that is parallel to a curve at a single point.

• A tangent line is a line that touches a curve at a single point and has the same slope as the curve at that point.

Tags

CCSS.HSG.CO.A.1

What is the relationship between a tangent line and a radius or diameter of a circle?

• The tangent line is parallel to the radius or diameter of the circle.

• The tangent line intersects the radius or diameter of the circle at a right angle.

• The tangent line is tangential to the radius or diameter of the circle.

• The tangent line is perpendicular to the radius or diameter of the circle.

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.

What is the relationship between the lengths of two intersecting chords in a circle?

• The lengths of the two chords are always equal.

• The lengths of the two chords are always different.

• The lengths of the two chords are irrelevant in a circle.

• Product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

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 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 the relationship between the lengths of two secant segments intersecting outside a circle?

• The product of the lengths of the two secant segments is equal to the product of the lengths of their external parts.

• The lengths of the two secant segments are always equal.

• The lengths of the two secant segments are always different.

• The sum of the lengths of the two secant segments is equal to the sum of the lengths of their external parts.

Tags

CCSS.HSG.C.A.2