Segments of Secants Theorems

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 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

• a
• b
• c
• d

What does the Segments of Secants Theorem state about two secants that intersect outside a circle?

• The product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment.

• The secants become parallel.

• The secants become congruent.

• The secants form a right angle.

Find CE.

• 12

• 16

• 18

• None of these

Solve for x.

• 7.94

• 8

• 10.58

• 112

Solve for x. 

• 7.94

• 8

• 10.58

• 112

What is the length of GH?

• 10

• 18

• 12

• 4