Answer: SSS similarity postulate
Step-by-step explanation:
The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.
In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.
i.e. [tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
Then by SSS-similarity criteria , we have
ΔABC ≈ ΔXYZ
