Final answer:
To prove the triangles similar by the SSS similarity theorem, we need to show that the ratios of their corresponding sides are equivalent. We also need to show that the corresponding angles are equal.
Step-by-step explanation:
To prove the triangles similar by the SSS similarity theorem, we need to show that the ratios of their corresponding sides are equivalent. Let's consider the two triangles ABC and DEF. We can compare the ratios of their sides: AB/DE, BC/EF, and AC/DF. If these ratios are equivalent, the triangles are similar.
Next, let's show that the ratios AB/DE, BC/EF, and AC/DF are equivalent. We can do this by calculating the values of these ratios and checking if they are equal.
Finally, to prove that the angles are equal, we need to show that ∠V ≅ ∠Y and ∠U ≅ ∠Z. We can do this by measuring the angles and comparing their values.