Question

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Answer 1

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.