Segments Formed by Chords, Secants, and Tangents

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment. Which of the following theorem corresponds to the statement?

• Radius-Tangent

• Intersecting Chords/Two-Intersecting Chords

• Intersecting Secants/Secant-Secant

• Intersecting Secant-Tangent

How would you find the measure of the angle formed by two secants intersecting outside the circle?

• twice the difference of the two intercepted arcs

• thrice the difference of the two intercepted arcs

• one-half the difference of the two intercepted arcs

• one-third the difference of the two intercepted arcs

It is the point of intersection of the tangent line and the circle.

• Point of Tangency

• Radius

• Circle

• Tangent

The region bounded by an arc and its chord.

• Arc Length

• Segment of a circle

• Sector of a circle

• Tangent

A line segment whose endpoints intersects a circle at exactly two points.

• tangent line

• secant line

• chord

• sector

Which of the following statement is false?

• If two chords intersect in a circle then the ratio of the lengths of the chords segments are equal.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If two tangents intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If a tangent and a secant intersect in the exterior of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment.

What is the name of this theorem: If two secants intersects in the exterior of a circle, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant and its external secant segment.

• Chord-Chord Power Theorem

• Secant-Secant Theorem

• Power Theorems

• Two Tangent Theorem

Which of the following statement is true?

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the sum of the measures of the intercepted arcs.

Which of the following statement is false?

• If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

• If a secant and tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If two secants intersect in the exterior of a circle then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

Which of the following word will make the statement true: If a tangent and a secant intersect in the ________ of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment.

• interior

• exterior

• part

• center