Answer:
B. SSS similarity theorem
Explanation:
Both triangles would be similar if the ratio of their corresponding sides are equal, based on the SSS Similarity theorem. That is:
AC/XZ = CB/ZY = AB/XY
Let's find the value of x using CB/ZY = AB/XY
x/2 = 9/3
x = (9*2)/3
x = 6
Thus:
AC/XZ = CB/ZY = AB/XY = 3
The ratio of their corresponding sides is equal to 3. Therefore, based on the SSS similarity theorem.