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7: The point B (-8,5) is dilated from the origin with a scale factor of 12 . ​What are the coordinates of B'? A (−6,3) B (−4,2.5) C (−16,10) D (−10,7)

Respuesta :

Answer:

The correct option is option B.

The coordinate of B' is (-4,2.5).

Step-by-step explanation:

Formula of dilation:

Image = (pre-image)×(scale factor)

Scale factor:

The amount by which the shrinks or grows is called " scale factor".

  • If the scale factor less than 1 then the shape shrinks.
  • If the sale factor equal to 1 then the shape remains same.
  • If the scale factor greater than 1 then the shape enlarged.

Given point is B(-8,5)

Scale factor is [tex]\frac12[/tex].

The co-ordinate of image B is [tex](-8\times \frac12,5\times \frac12)[/tex]

                                                 =(-4,2.5)

The coordinate of B' is (-4,2.5).

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