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In \(\triangle PQR\) and \(\triangle XYZ\), if \(PQ/XY = QR/YZ = PR/XZ\), which similarity criterion applies?

  • A.Aaa (angle-angle-angle)
  • B.Sas (side-angle-side)
  • C.Sss (side-side-side)
  • D.Rhs (right-hypotenuse-side)

Answer: C

The condition given is that the ratios of the lengths of the corresponding sides of the two triangles are equal. This is the definition of the SSS (Side-Side-Side) similarity criterion. If this condition is met, the two triangles are similar.

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