11. If $$ riangle M N O \cong riangle P Q R $$, which of the following can you NOT conclude as being true? $$ \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} $$ $$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$ $$ \angle \mathrm{M} \cong \angle \mathrm{P} $$ $$ \angle \angle \mathrm{Q} $$

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11. If $$ 	riangle M N O \cong 	riangle P Q R $$, which of the following can you NOT conclude as being true? $$ \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} $$ $$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$ $$ \angle \mathrm{M} \cong \angle \mathrm{P} $$ $$ \angle \angle \mathrm{Q} $$

UpStudy AI · Accepted Answer

To determine which statement **cannot** be concluded as true from the congruence $$ 	riangle MNO \cong 	riangle PQR $$, let's analyze the correspondence between the triangles:

1. **Corresponding Vertices and Sides:**
   - $$ M $$ corresponds to $$ P $$
   - $$ N $$ corresponds to $$ Q $$
   - $$ O $$ corresponds to $$ R $$

2. **Corresponding Sides:**
   - $$ \overline{MN} $$ corresponds to $$ \overline{PQ} $$
   - $$ \overline{NO} $$ corresponds to $$ \overline{QR} $$
   - $$ \overline{OM} $$ corresponds to $$ \overline{RP} $$

3. **Corresponding Angles:**
   - $$ \angle M $$ corresponds to $$ \angle P $$
   - $$ \angle N $$ corresponds to $$ \angle Q $$
   - $$ \angle O $$ corresponds to $$ \angle R $$

**Evaluating Each Statement:**

1. **$$ \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} $$**  
   - **True:** These are corresponding sides.

2. **$$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$**  
   - **False:** $$ \overline{MN} $$ corresponds to $$ \overline{PQ} $$, not $$ \overline{PR} $$.

3. **$$ \angle \mathrm{M} \cong \angle \mathrm{P} $$**  
   - **True:** These are corresponding angles.

4. **$$ \angle \mathrm{Q} $$**  
   - **Incomplete Statement:** It seems there might be a typo, but assuming it's referring to $$ \angle Q $$, it is true that $$ \angle N \cong \angle Q $$.

**Conclusion:**

The statement **$$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$** cannot be concluded as true based on the given congruence.

**Answer:**  
$$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$ cannot be concluded as true.
You cannot conclude that $$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$ from the given triangle congruence.

If , which of the following can you NOT conclude as being true?

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