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  • 22-01-2020
  • Mathematics
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what is the scale factor, k

what is the scale factor k class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-02-2020

Answer:

The scale factor is 2

Step-by-step explanation:

Scale factor  [tex]k=\frac{Image\: length}{Corresponding\:Object\:Length}[/tex]

[tex]k=\frac{|A'B'|}{|AB|}[/tex]

We can use the Pythagoras Theorem to get:

[tex]k=\frac{\sqrt{4^2+4^2} }{\sqrt{2^2+2^2}}[/tex]

[tex]k=\frac{\sqrt{2*4^2} }{\sqrt{2*2^2}}=\frac{4\sqrt{2} }{2\sqrt{2} } =2[/tex]

The scale factor is 2

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