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.

Explanation

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:

### Given:
- Two equal chords \( AB \) and \( CD \) intersect at point \( X \) inside the circle.
- \( AB = CD \)

### To Prove:
- \( AX = DX \) and \( BX = CX \)
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