This appears to be a proof worksheet for geometry, likely about triangle congruence. Based on what is visible:

Observations:

• Statement 1 and Reason 1: $\angle MNP \cong \angle OPN$ is given.
• Statement 2 and Reason 2: $\overline{NM} \cong \overline{PO}$ is given.
• Statement 3 and Reason 3: Reflexive Property is applied.
• Statement 4 mentions $\triangle NMP \cong \triangle PON$, and the missing reason needs to justify triangle congruence.
• Statement 5 is not visible but likely depends on congruence properties.

Suggestions for Completion:

Step 4:

The triangles are congruent by the SAS (Side-Angle-Side) Postulate because:

• One pair of corresponding sides ($\overline{NM} \cong \overline{PO}$) are congruent (given).
• One pair of angles ($\angle MNP \cong \angle OPN$) are congruent (given).
• The side $\overline{NP}$ is congruent to itself (Reflexive Property).

Thus, Reason 4 should be SAS Postulate.

Step 5:

This would depend on what the proof is attempting to show. Possible completions include:

• $\angle N \cong \angle P$ or another property derived from $\triangle NMP \cong \triangle PON$ (CPCTC - Corresponding Parts of Congruent Triangles are Congruent).
• A derived statement depending on congruence.

Would you like me to solve Statement 5 further based on assumptions or clarify anything else? Let me know!

Related Questions:

1. What is the SAS Postulate, and why is it used here?
2. How does the Reflexive Property contribute to proving congruence?
3. What is CPCTC, and when is it applied in triangle proofs?
4. Are there other congruence postulates (e.g., ASA, SSS) that could apply?
5. How can triangle congruence help solve real-world problems?

Tip:

When completing proofs, always pair each statement with clear and specific reasons (e.g., postulates, theorems, or properties).