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Pentagon PQRST is drawn on a coordinate plane below. what rule best represents a dilation to create pentagon PQRST with a scale factor of 1/2 and with the origin as the center of dilation?

Pentagon PQRST is drawn on a coordinate plane below what rule best represents a dilation to create pentagon PQRST with a scale factor of 12 and with the origin class=

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JeanaShupp

Answer: [tex](x,y) \to (\dfrac12 x, \dfrac12 y)[/tex]

Step-by-step explanation:

  • Dilation is a transformation, in which the size of the image gets changed but not shape.

The rule of dilation with scale factor k and wither origin as center of dilation :

(x,y) → (kx, ky)

Here , [tex]k= \dfrac12[/tex] , center of dilation = Origin

Then, the rule best represents a dilation to create pentagon PQRST will be :

[tex](x,y) \to (\dfrac12 x, \dfrac12 y)[/tex]

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