Question

How can the triangles be proven similar by the SSS similarity theorem? Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent. Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent. Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y. Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z. Consider the two triangles

Answer 1

Answer:

option 1

Step-by-step explanation:

The question is as shown in the attached figure.

From the figure, we can deduce that:

∠U ≅ ∠X and ∠W ≅ ∠Z  and ∠V ≅ ∠Y

So, ΔUWV similar to ΔXZY

But it is required to know " How can the triangles be proven similar by the SSS similarity theorem? "

So, we need to prove the corresponding angles are proportion

With the help of the previous corresponding angles.

So, we need to show that the ratios $\frac{UV}{XY} \ , \ \frac{WU}{ZX} \ and \ \frac{WV}{ZY}$ are equivalent.

So, the answer is option 1