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QUESTION IMAGE

enter segments in the blanks provided that would result in a true equat…

Question

enter segments in the blanks provided that would result in a true equation.
answer attempt 1 out of 2
\\(\frac{rt}{st}=\frac{}{}\\)

Explanation:

Response
  1. Explanation:
  • If the two triangles \(\triangle OPQ\) and \(\triangle RST\) are similar (since no other information is given, we assume the context is similar - triangles), then the ratios of corresponding sides are equal.
  • In similar - triangles, if \(\angle Q=\angle S\) and \(\angle P=\angle R\) (by the AA - similarity criterion or other similarity conditions), then the ratio of the sides of one triangle to the corresponding sides of the other triangle is the same.
  • For \(\frac{RT}{ST}\), the corresponding ratio in the other triangle would be \(\frac{OP}{QP}\) (assuming the triangles are similar and the angles match up in a way that \(RT\) corresponds to \(OP\) and \(ST\) corresponds to \(QP\)).
  1. Answer:
  • \(\frac{RT}{ST}=\frac{OP}{QP}\)

Answer:

  1. Explanation:
  • If the two triangles \(\triangle OPQ\) and \(\triangle RST\) are similar (since no other information is given, we assume the context is similar - triangles), then the ratios of corresponding sides are equal.
  • In similar - triangles, if \(\angle Q=\angle S\) and \(\angle P=\angle R\) (by the AA - similarity criterion or other similarity conditions), then the ratio of the sides of one triangle to the corresponding sides of the other triangle is the same.
  • For \(\frac{RT}{ST}\), the corresponding ratio in the other triangle would be \(\frac{OP}{QP}\) (assuming the triangles are similar and the angles match up in a way that \(RT\) corresponds to \(OP\) and \(ST\) corresponds to \(QP\)).
  1. Answer:
  • \(\frac{RT}{ST}=\frac{OP}{QP}\)