The similarities of triangles can be proved using SSS theorem.
The missing mathematical statement is: [tex]\mathbf{\frac{BC}{YZ} = \frac 63}[/tex]
Because the similarities of both triangles is being proved using SSS, then only the sides would be compared
Sides AB, AC, XY and XZ have already been compared.
So, the missing mathematical statement is the ratio of sides BC and YZ
From the question, we have:
[tex]\mathbf{BC = 6}[/tex]
[tex]\mathbf{YZ = 3}[/tex]
So, the missing statement is:
[tex]\mathbf{\frac{BC}{YZ} = \frac 63}[/tex]
Read more about similarities of triangles at:
https://brainly.com/question/14926756
