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10. quadrilateral abcd is similar to quadrilateral efgh. side - lengths…

Question

  1. quadrilateral abcd is similar to quadrilateral efgh. side - lengths are given in centimeters.

which proportion could be true?
○ =\\(\frac{ab}{ef}=\frac{bc}{fg}\\)
○ =\\(\frac{ab}{fg}=\frac{bc}{ef}\\)
○ =\\(\frac{ab}{eh}=\frac{bc}{gh}\\)
○ =\\(\frac{ab}{gh}=\frac{bc}{eh}\\)

Explanation:

Step1: Assume similar - triangles property.

If two triangles are similar, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides.

Let's assume the first triangle has sides \(a = 11\), \(b = 20\), \(c = 8\) and the second has sides \(A = 27.5\), \(B = 50\), \(C = 20\). Then \(\frac{a}{A}=\frac{11}{27.5}=\frac{2}{5}\), \(\frac{b}{B}=\frac{20}{50}=\frac{2}{5}\), \(\frac{c}{C}=\frac{8}{20}=\frac{2}{5}\).

Answer:

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