Question

which descriptions from the list below accurately describe the relationship between \\( \triangle xyz \\) and \\( \triangle uvw \\)? check all that apply. same shape same size congruent similar

Explanation:

Step1: Calculate the ratio of corresponding sides

For $\triangle XYZ$ and $\triangle UVW$, the ratio of sides: $\frac{8}{4}=\frac{10}{5}=\frac{5}{2.5} = 2$.

Step2: Check angle - angle similarity

Since $\angle X=\angle U = 37^{\circ}$, $\angle Z=\angle W=53^{\circ}$, and $\angle Y=\angle V = 90^{\circ}$ (because the sum of angles in a triangle is $180^{\circ}$, $180-(37 + 53)=90$). By AA (angle - angle) similarity criterion, $\triangle XYZ\sim\triangle UVW$. Similar triangles have the same shape.

Answer:

Same shape, Similar