alyaalsaadi44 alyaalsaadi44
  • 01-02-2021
  • Mathematics
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Geometry
Is Dn (triangle DEF) = triangle D'E'F' an enlargement or a reduction? What is the scale factor n of the dilation?

Geometry Is Dn triangle DEF triangle DEF an enlargement or a reduction What is the scale factor n of the dilation class=

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olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 06-02-2021

Answer:

A. Enlargement, 1.5

Step-by-step explanation:

Comparing the two triangles, it would be observed that ΔD'E'F' is larger than ΔDEF. This implies that ΔDEF has been multiplied by a scale factor.

To determine the scale factor used, consider the side DE and D'E' of the two triangles:

scale factor = [tex]\frac{D'E'}{DE}[/tex]

                   = [tex]\frac{6}{4}[/tex]

scale factor  = 1.5

Therefore, ΔDEF was enlarged to ΔD'E'F' using a scale factor of 1.5. Then the correct option is A.

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