Suppose line segments `A B` and `C D` intersect at `O` in such a way that `A O=O D` and `O B=O C`. Prove that `A C=B D` but `A C` may not be parallel to `B D` .

Explanation

To prove that \( AC = BD \) and that \( AC \) may not be parallel to \( BD \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information:**
- We have two line segments \( AB \) and \( CD \) that intersect at point \( O \).
- It is given that \( AO = OD \) and \( OB = OC \).

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