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

Question

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

UpStudy AI · Accepted Answer

Given that $$ 	riangle \mathrm{MNO} \cong 	riangle \mathrm{PQR} $$, we can conclude that all corresponding sides and angles of the two triangles are congruent. This means:

1. $$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$
2. $$ \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} $$
3. $$ \angle \mathrm{M} \cong \angle \mathrm{P} $$
4. $$ \angle \mathrm{N} \cong \angle \mathrm{Q} $$

Since all of these statements are true based on the congruence of the triangles, we need to identify which statement cannot be concluded as true.

Let's analyze each option:

1. **$$ \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} $$**: This is true because $$ \overline{\mathrm{NO}} $$ corresponds to $$ \overline{\mathrm{QR}} $$.
  
2. **$$ \angle \mathrm{M} \cong \angle \mathrm{P} $$**: This is true because $$ \angle \mathrm{M} $$ corresponds to $$ \angle \mathrm{P} $$.

3. **$$ \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} $$**: This is true because $$ \overline{\mathrm{MN}} $$ corresponds to $$ \overline{\mathrm{PR}} $$.

4. **$$ \angle \mathrm{N} \cong \angle \mathrm{Q} $$**: This is true because $$ \angle \mathrm{N} $$ corresponds to $$ \angle \mathrm{Q} $$.

Since all the statements are true based on the congruence of the triangles, there is no statement that can be concluded as NOT true.

However, if we were to consider a scenario where one of the statements was not true, it would typically involve a misunderstanding of the triangle's properties. In this case, all statements are valid conclusions from the given congruence.

Thus, the answer is that there is no statement that can be concluded as NOT true based on the given information.
All the given statements are true based on the congruence of the triangles. Therefore, there is no statement that can be concluded as NOT true.

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

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Geometry Questions