consider the two triangles. how can the triangles be proven similar by the sss similarity theorem? show that…

consider the two triangles. how can the triangles be proven similar by the sss similarity theorem? show that the ratios $\frac{uv}{xy}$, $\frac{wu}{zx}$, and $\frac{wv}{zy}$ are equivalent. show that the ratios $\frac{uv}{zy}$, $\frac{wu}{zx}$, and $\frac{wv}{xy}$ are equivalent. show that the ratios $\frac{uv}{xy}$ and $\frac{wv}{zy}$ are equivalent, and $angle vcongangle y$. show that the ratios $\frac{uv}{zy}$ and $\frac{wu}{zx}$ are equivalent, and $angle ucongangle z$.

consider the two triangles. how can the triangles be proven similar by the sss similarity theorem? show that the ratios $\frac{uv}{xy}$, $\frac{wu}{zx}$, and $\frac{wv}{zy}$ are equivalent. show that the ratios $\frac{uv}{zy}$, $\frac{wu}{zx}$, and $\frac{wv}{xy}$ are equivalent. show that the ratios $\frac{uv}{xy}$ and $\frac{wv}{zy}$ are equivalent, and $angle vcongangle y$. show that the ratios $\frac{uv}{zy}$ and $\frac{wu}{zx}$ are equivalent, and $angle ucongangle z$.

Answer

Explanation:

Step1: Recall SSS similarity theorem

The SSS (Side - Side - Side) similarity theorem states that if the ratios of the corresponding sides of two triangles are equal, then the two triangles are similar. For two triangles $\triangle UVW$ and $\triangle XYZ$, the corresponding sides are compared. The sides of $\triangle UVW$ are $UV$, $WU$, and $WV$, and the sides of $\triangle XYZ$ are $XY$, $ZX$, and $ZY$. The correct way to check for SSS similarity is to show that $\frac{UV}{XY}=\frac{WU}{ZX}=\frac{WV}{ZY}$.

Answer:

Show that the ratios $\frac{UV}{XY},\frac{WU}{ZX}$, and $\frac{WV}{ZY}$ are equivalent.