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If two equal chords of a circle inter...

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

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To prove that the segments of one chord are equal to the corresponding segments of the other chord when two equal chords intersect within a circle, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Circle and Chords**: - Let \( O \) be the center of the circle. - Draw two equal chords \( AB \) and \( CD \) such that they intersect at point \( P \) inside the circle. ...
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Knowledge Check

  • A chord of a circle is a line segment with its end points....

    A
    on the circle
    B
    interior of the circle
    C
    exterior of the circle
    D
    None of these

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