Solution:
Given:
Two triangles are similar if their corresponding angles are congruent and corresponding sides are in equal proportion.
The triangles can be sketched as shown;
Since both triangles have congruent angles, we check if the ratio of their corresponding sides is equal to confirm if they are similar or not.
Hence,
[tex]\begin{gathered} \frac{34}{34}=\frac{30}{30} \\ \frac{1}{1}=\frac{1}{1} \\ 1:1=1:1 \\ Since\text{ the ratio of the two triangles is in equal proportion, then the triangles are similar.} \end{gathered}[/tex]
Therefore, the ski lodge and home are similar.
They are similar because they have corresponding congruent angles and also the ratio of corresponding sides is similar.
