Respuesta :

The figures are similar, so the corresponding sides are proportional.

For example, the ratio of BD to HF could be 2:1 meaning BD is twice as long as HF. We could have BD = 10 and HF = 5 for instance.

The other sides would be in the same proportion to keep the figures similar. So another example would be ND/TH = 2/1

For given figure,  ratios of the lengths of their corresponding sides are equal.

  • Two figures are said to be similar if they are the same shape.
  • When two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Given that, figures are similar.

So that, for given figure ratios of the lengths of their corresponding sides are equal.

               [tex]\frac{BD}{HF}=\frac{BL}{FA}=\frac{DN}{HT}[/tex]

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