Question

Need help with this one. Instructions are: Determine whether the triangles are similar. If so, write a similarity statement. If not,what would be sufficient to prove the triangles similar? Explain your reasoning.

Answer 1

ANSWER :

Triangles UWY and UXZ are similar

EXPLANATION :

Two triangles are similar if the ratio of their corresponding sides is the same.

We can try UW/UX, WY/XZ, and UY/UZ

$\begin{gathered} \frac{UW}{UX}=\frac{8}{8+3.2}=\frac{8}{11.2}\quad or\quad\frac{5}{7} \\ \\ \frac{WY}{XZ}=\frac{10}{14}=\frac{5}{7} \\ \\ \frac{UY}{UZ}=\frac{5}{5+2}=\frac{5}{7} \end{gathered}$

Since the ratios are the same, then the triangles are similar.