1. **State the problem:** Prove that triangles $\triangle LMN$ and $\triangle PON$ are congruent.
2. **Given:**
- $LM \cong PO$ (Given)
- $LN \cong PN$ (Given)
- $N$ is the midpoint of $LO$ (Given)
3. **Recall the midpoint definition:**
If $N$ is the midpoint of segment $LO$, then $LN \cong NO$.
4. **Use midpoint to find congruent segments:**
Since $N$ is midpoint of $LO$, we have
$$LN \cong NO$$
5. **Identify the missing statement (#4):**
Because $N$ is midpoint, segment $MN$ is congruent to segment $ON$ (or equivalently $MN \cong ON$) if $M$ and $O$ are points such that $MO \cong OM$ (which is always true by reflexive property). But here, the key is that $MN \cong ON$ because $N$ divides $LO$ into two equal parts.
6. **Complete the proof using SSS:**
- $LM \cong PO$ (Given)
- $LN \cong PN$ (Given)
- $MN \cong ON$ (From midpoint property)
Therefore, by the Side-Side-Side (SSS) congruence criterion, $\triangle LMN \cong \triangle PON$.
**Final answer:**
The missing #4 statement is:
$$MN \cong ON$$
Triangle Congruence 8D643D
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