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10.7 Special Segments in a Circle

Objectives. Find measures of segments that intersect in the interior of a circle. Find measures of segments that intersect in the exterior of a circle.. Segments in a Circle. Theorem 10.15: If two chords intersect in a circle, then the products of the measures of the segments of the chords are equa

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10.7 Special Segments in a Circle

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    2. Objectives Find measures of segments that intersect in the interior of a circle. Find measures of segments that intersect in the exterior of a circle.

    3. Segments in a Circle Theorem 10.15: If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.

    4. Example 1:

    5. Your Turn:

    6. Example 2:

    7. Example 2:

    8. Example 2:

    9. Your Turn:

    10. Segments Outside of a Circle Theorem 10.16: If two secants intersect outside a circle, then the product of the measures of the external secant segment and the entire secant segment is equal to the product of the measures of the other external secant segment and its secant segment.

    11. Example 3:

    12. Example 3:

    13. Your Turn:

    14. Segments Outside of a Circle Theorem 10.17: If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external segment.

    15. Example 4:

    16. Your Turn:

    17. Assignment Pre-AP Geometry Pg. 572 #8 - 30 Geometry: Pg. 572 #8 – 19, 22 - 28

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