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Notes 69: (10.6) Find Segment Lengths in CirclesPowerPoint Presentation

Notes 69: (10.6) Find Segment Lengths in Circles

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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.
EA • EB = EC • ED

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

- 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 ML and JK.

Use Theorem 10.15

- Find the value of x.

Find lengths using Theorem 10.16

- Find RS.

Independent Practice #1

- Find the value of x.

Independent Practice #2

- Find the value of x.

Independent Practice #3

- Use the figure at the right to find JK.

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