Geometry – Segments of Chords and Secants Theorem : If two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord. C A X B D

Geometry – Segments of Chords and Secants Theorem : If two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord. C A 2 3 X 6 B D EXAMPLE : AX = 3, XB = 6, CX = 2. Find XD.

Geometry – Segments of Chords and Secants Theorem : If two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord. C A 2 3 X 6 B D EXAMPLE : AX = 3, XB = 6, CX = 2. Find XD.

Geometry – Segments of Chords and Secants Theorem : If two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord. C A 3 B 10 X 20 D EXAMPLE #2 : AX = 10, XD = 20, CX = 3. Find XB.

Geometry – Segments of Chords and Secants Theorem : If two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord. C A 3 B 10 X 20 D EXAMPLE #2 : AX = 10, XD = 20, CX = 3. Find XB.

Geometry – Segments of Chords and Secants Theorem : If two secants form an angle outside a circle : A B X C D

Geometry – Segments of Chords and Secants Theorem : If two secants form an angle outside a circle : A 9 B 12 X C D 24 Example : If AB = 9, BX = 12, DX = 24, find CX.

Geometry – Segments of Chords and Secants Theorem : If two secants form an angle outside a circle : A 9 B 12 X C D 24 Example : If AB = 9, BX = 12, DX = 24, find CX.

Geometry – Segments of Chords and Secants Theorem : If two secants form an angle outside a circle : A 9 B 12 X C D 24 Example : If AB = 9, BX = 12, DX = 24, find CX.

Geometry – Segments of Chords and Secants Theorem : If a secant and a tangent line form an angle outside a circle : A B X C

Geometry – Segments of Chords and Secants Theorem : If a secant and a tangent line form an angle outside a circle : A 12 B 4 X C EXAMPLE : AB = 12, BX = 4, find CX.

Geometry – Segments of Chords and Secants Theorem : If a secant and a tangent line form an angle outside a circle : A 12 B 4 X C EXAMPLE : AB = 12, BX = 4, find CX.

Geometry – Segments of Chords and Secants Theorem : If a secant and a tangent line form an angle outside a circle : A 12 B 4 X C EXAMPLE : AB = 12, BX = 4, find CX.