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# Notes 69: (10.6) Find Segment Lengths in Circles - PowerPoint PPT Presentation

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

### 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 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.