Show that if two chords of a circle bisect one another they must be diameters.

Explanation

To prove that if two chords of a circle bisect one another, they must be diameters, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Chords**: Let the two chords be \( AB \) and \( CD \) that bisect each other at point \( O \).

2. **Draw the Diagram**: Draw a circle with center \( O \). Mark points \( A \), \( B \), \( C \), and \( D \) on the circumference such that \( AB \) and \( CD \) are the chords intersecting at point \( O \).

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