Angles formed by secant and tangent

Question 1

The measure of an angle formed by 2 secants that intersect in the exterior of a circle is 1/2 the difference of its intercepted arc.

Answer 1

The intersecting secants-exterior

Question 2

The measure of an angle formed by a tangent and a secant drawn at the point of contact is one-half the measure of its intercepted arc.

Answer 2

Tangent Point-Secant Theorem

Question 3

The measure of an angle formed by a 2 secants intersecting in the interior of the circle is equal to the one-half the sum of the measure of the intercepted arc.

Answer 3

Intersecting secants-interior theorem

Question 4

The two chords intersect in the interior of the circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segment of the other chord.

Answer 4

Chord Chords (Power Theorem)

Question 5

The square of the length of tangent segment is equal to the product of the measures of the secant segment and it’s external secant segment

Answer 5

Tangent-secant segment (Power Theorem)

Question 6

If two secants intersect in the exterior of a circle, then the product of the measure of one secant segment and its external part is equal to the product of the measure of the other secant segment and its external part

Answer 6

Secant-secant (Power Theorem)