1. 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

2. 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.

3. 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.

4. 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.

5. 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.

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

7. 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.

8. 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.

9. 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.

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

11. 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.

12. 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.

13. 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.