The congruency relationship which hold true after transformation is
YZ ≅ AB
What is congruent ?
In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.
Explanation:
A translation is known as a rigid transformation. This is because it preserves congruence. Since CAB is created from XYZ, this tells us that:
X corresponds to C; Y corresponds to A; Z corresponds to B; XY corresponds to CA; YZ corresponds to AB; and XZ corresponds to CB.
Since the triangles are congruent, the corresponding pieces are congruent as well.
Out of these corresponding congruent pieces of triangles, the only one in our options is YZ ≅ AB.
Hence the answer is YZ≅AB.
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