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

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} (UW)/(UX)=(8)/(8+3.2)=(8)/(11.2)\quad or\quad(5)/(7) \\ \\ (WY)/(XZ)=(10)/(14)=(5)/(7) \\ \\ (UY)/(UZ)=(5)/(5+2)=(5)/(7) \end{gathered}`

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