In figure C) segment AB is similar to segment DF, segment BC is similar to segment EF, and segment AC is similar to segment DE. So, both the triangles are congruent by SSS similarity.
Check all the options in order to determine the correct pairs of triangles can be proven congruent through SSS.
A) According to the given figure, segment AB is similar to segment XY and segment YZ. Also, segment AC is similar to segment XZ.
Therefore, this option is incorrect.
B) According to the given figure, angle A is congruent to angle X, angle B is congruent to angle Y, and angle C is congruent to angle Z. So, both the triangles are congruent by AAA similarity.
Therefore, this option is incorrect.
C) According to the given figure, segment AB is similar to segment DF, segment BC is similar to segment EF, and segment AC is similar to segment DE. So, both the triangles are congruent by SSS similarity.
Therefore, this option is correct.
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