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Which rule yields the dilation of the figure STUV centered at the origin? A) (x, y) → (5x, 5y) B) (x, y) → (0.2x, 0.2y) C) (x, y) → (x + 5, y + 5) D) (x, y) → (x + 0.2, y + 0.2)

Which rule yields the dilation of the figure STUV centered at the origin A x y 5x 5y B x y 02x 02y C x y x 5 y 5 D x y x 02 y 02 class=

Respuesta :

frika

Answer:

A) [tex](x,y)\rightarrow (5x,5y)[/tex]

Step-by-step explanation:

The figure STUV has its coordinates at points S(1,-2), T(2,-1), U(1,2), V(0,-1).

Image quadrilateral S'T'U'V' has its coordinates at points S'(5,-10), T'(10,-5), U'(5,10), V'(0,-5).

As you cna see,

  • [tex]S(1,-2)\rightarrow S'(5\cdot 1,5\cdot (-2));[/tex]
  • [tex]T(2,-1)\rightarrow T'(5\cdot 2,5\cdot (-1));[/tex]
  • [tex]U(1,2)\rightarrow U'(5\cdot 1,5\cdot 2);[/tex]
  • [tex]V(0,-1)\rightarrow V'(5\cdot 0,5\cdot (-1)).[/tex]

So, the rule is

[tex](x,y)\rightarrow (5x,5y)[/tex]

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