Question

these figures are congruent. what is lm?
____ meters

Explanation:

Step1: Match congruent triangle sides

First, identify corresponding sides of the congruent triangles. In $\triangle LNM$, sides $LN=75\ \text{m}$, $NM=82\ \text{m}$. In $\triangle XVW$, sides $XV=75\ \text{m}$, $VW=82\ \text{m}$. The remaining side in $\triangle XVW$ is $WX=50\ \text{m}$.

Step2: Correlate to find $LM$

Since the triangles are congruent, the remaining side $LM$ corresponds to $WX$.

Answer:

50 meters