Secant and Tangent Angles Segments in a Circle

What is the value of w?

• 52

• 104

• 76

• 108

Determine the value of (x+y). Round to the nearest whole number.

• 6

• 8

• 10

• 12

What is the value of x?

• 18

• 8

• 10

• 30

Find the measure of KM. Assume that lines which appear to be tangent are tangent.

• 18

• 10

• 17

• 21

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.

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

• tangent line

• secant line

• chord

• sector

Which of the following word will make the statement true: If two secants intersect in the exterior of a circle then the measure of the _______ formed is one-half the positive difference of the measures of the intercepted arcs.

• sector

• segment

• angle

• arc

Which of the following word will make the statement true: If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the _______of the measures of the arcs intercepted by the angle and its vertical angle.

• difference

• product

• ratio

• sum

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