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The scale factor from a small triangle ABC to a large
triangle XYZ is 4. How many times larger will the
perimeter of triangle XYZ be than the perimeter of
triangle ABC?

The scale factor from a small triangle ABC to a large triangle XYZ is 4 How many times larger will the perimeter of triangle XYZ be than the perimeter of triang class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  c  4 times

Step-by-step explanation:

If the side lengths of the original triangle are AB, BC, and CA, then those of the dilated triangle are 4AB, 4BC, 4CA.

The sums of these are the perimeters.

  P = AB +BC +CA

  perimeter of XYZ = 4AB +4BC +4CA = 4(AB +BC +CA) = 4P

The perimeter of XYZ is 4 times the perimeter of ABC.

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