11.2.3 Segment Relationships in Circles

Question 1

secant segment

Answer 1

a segment of a secant with at least one endpoint on the circle

Question 2

external secant segment

Answer 2

a secant segment that lies in the exterior of the circle with one endpoint on the circle

Question 3

tangent segment

Answer 3

a segment of a tangent with one endpoint on the circle

Question 4

Chord-Chord Product Theorem

Answer 4

If two chords intersect in the interior of a circle, then the products of the lengths of the segments of the chords are equal

Question 5

Secant-Secant Product Theorem

Answer 5

If two secants intersect in the exterior of a circle, then 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. (whole · outside = whole · outside)

Question 6

Secant-Tangent Product Theorem

Answer 6

If a secant and a tangent intersect in the exterior of a circle, then the product of the lengths of the secant segment and its external segment equals the length of the tangent segment squared. (whole · outside = tangent^2)