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  • 02-06-2020
  • Mathematics
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eudora eudora
  • 07-06-2020

Answer:

Option (3)

Step-by-step explanation:

From the given figure,

Two triangles ΔABC and ΔDEF are similar.

ΔABC ~ ΔDEF

By the definition of similarity of two triangles, corresponding sides of the similar triangles are in the same ratio.

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

Now from this relation,

[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]

[tex]\frac{DF}{EF}=\frac{AC}{BC}[/tex]

Therefore, Option (3) will be the correct proportionality statement.

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