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    Circle and segment proof

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    The lines AB, BC are tangent to the circle centered at O. The segment CE is perpendicular to the diameter BD. Show that |BE||BO|=|AB||CE|

    See attached for diagram.

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    Solution Preview

    Please see the attachment.

    We can connect and , then I claim that the triangle is similar to the triangle .
    First, I claim that . Since ...

    Solution Summary

    The solution provides an example of a geometry proof regarding a circle and tangent lines.