Segment Relationships in Circles

Question 1

What is the Chord-Chord Product Theorem?

Answer 1

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 2

What is a Secant Segment?

Answer 2

A Segment of a Secant with at least one endpoint on the Circle.

Question 3

What is an External Secant Segment?

Answer 3

A Secant Segment that lies in the exterior of the Circle with one endpoint on the Circle.

Question 4

What is the Secant-Secant Product Theorem?

Answer 4

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.

(wholeoutside=wholeoutside).

Question 5

What is the Secant-Tangent Product Theorem?

Answer 5

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.