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Geometry – Segments of Chords and Secants

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.

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Geometry – Segments of Chords and Secants

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  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 3 A 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 3 A 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.

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