\begin{tabular}{l} CONCLUSION: \\ 4 Do you think that the previous RATIOS will always be the same for THE SAME \\ ANGLE SIZES even if the triangles differ in sizes? Explain your answer. \\ \hline\end{tabular}

Absolutely! The beauty of triangles, regardless of their size, lies in the fact that their angle ratios, known as the angle-side relationship, remain constant. This is due to the fundamental properties of similar triangles, where the angles are congruent, and the sides are proportional. So, whether your triangle is tiny like a paper cutout or grand like a mountain range, if the angle sizes are identical, the ratios of the sides will always match! Plus, this property of triangles isn't just a math quirk—it's all over the real world. Architects use these principles to maintain structural integrity, artists utilize these ratios for aesthetic balance in their work, and engineers rely on them in various designs. So, next time you're constructing something in your backyard or doodling a triangle on a napkin, remember that those angle ratios are your steadfast friends, no matter the size of your shapes!