Notes 69 10 6 find segment lengths in circles
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Notes 69: (10.6) Find Segment Lengths in Circles PowerPoint PPT Presentation


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Notes 69: (10.6) Find Segment Lengths in Circles. THEOREM 10.14: SEGMENTS OF CHORDS THEOREM. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord .

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Notes 69: (10.6) Find Segment Lengths in Circles

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Notes 69 10 6 find segment lengths in circles

Notes 69: (10.6) Find Segment Lengths in Circles


Theorem 10 14 segments of chords theorem

THEOREM 10.14: SEGMENTS OF CHORDS THEOREM

  • If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

    EA • EB = EC • ED


Theorem 10 15 segments of secants theorem

THEOREM 10.15: SEGMENTS OF SECANTS THEOREM

  • If two secant segments share the same endpoint outside 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.

    EA • EB = EC • ED


Theorem 10 16 segments of secants and tangents theorem

THEOREM 10.16: SEGMENTS OF SECANTS AND TANGENTS THEOREM

  • If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment.

    EA2= EC • ED


Find lengths using theorem 10 14

Find lengths using theorem 10.14

  • Find ML and JK.


Use theorem 10 15

Use Theorem 10.15

  • Find the value of x.


Find lengths using theorem 10 16

Find lengths using Theorem 10.16

  • Find RS.


Independent practice 1

Independent Practice #1

  • Find the value of x.


Independent practice 2

Independent Practice #2

  • Find the value of x.


Independent practice 3

Independent Practice #3

  • Use the figure at the right to find JK.


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