Questions: With the information given below, can you conclude that triangle LMN is congruent to triangle XYZ? Yes No

With the information given below, can you conclude that triangle LMN is congruent to triangle XYZ? Yes No
Transcript text: With the information given below, can you conclude that $\triangle L M N \cong \triangle X Y Z$ ? Yes No
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Solution

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Solution Steps

Step 1: Analyze the given information

We are given two triangles, $\triangle LMN$ and $\triangle XYZ$. We know that $\overline{LM} \cong \overline{XY}$, $\overline{MN} \cong \overline{YZ}$, and $\angle N \cong \angle Z$. These are two sides and an angle that are congruent between the two triangles.

Step 2: Determine if the information is sufficient to prove congruency

The given information matches the Side-Angle-Side (SAS) postulate if the angle is between the two sides. In $\triangle LMN$, the angle $N$ is between sides $LM$ and $MN$. Similarly, the angle $Z$ is between sides $XY$ and $YZ$ in $\triangle XYZ$. Therefore, the SAS postulate applies.

Final Answer:

Yes

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