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Question
the statement tu = xv is true for which diagrams?
Step1: Check for congruence markings
In congruent - triangle diagrams, if there are markings indicating equal sides and angles that would make $\overline{TU}$ and $\overline{XY}$ corresponding sides of congruent triangles, the statement $\overline{TU}\cong\overline{XY}$ is true.
Step2: Analyze each diagram
Without seeing the actual markings on the diagrams (since the image is not fully clear), assume we check for side - length and angle - measure congruence markings. If the diagrams show that $\triangle TUV\cong\triangle XYZ$ with $\overline{TU}$ and $\overline{XY}$ as corresponding sides, the statement is true.
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It depends on the congruence markings in the diagrams. If the diagrams show that the triangles containing $\overline{TU}$ and $\overline{XY}$ are congruent with $\overline{TU}$ and $\overline{XY}$ as corresponding sides, then the statement is true.