The dash triangle is the image of the solid triangle. the center of dilation is (-4, -4).
what is the scale factor used to create the dilation
enter your answer as an integer or decimal in the box

The scale factor of dilation is -3

Step-by-step explanation:

* Lets revise the meaning of dilation

- A dilation is a transformation that produces an image that is the same

  shape as the original, but is a different size

- A dilation stretches or shrinks the original figure by a scale factor and

 center of dilation

- If the scale factor between 0 and 1, then the original figure shrinks

- If the scale factor greater than 1, then the original figure stretches

- If the scale factor is negative then the original figure is stretches or

 shrinks and rotate 180°

* Lets solve the problem

∵ The vertices of the original triangles are

   (-4 , -4) , (-4 , -7) , (-6 , -4)

∵ The vertices of the image triangles are

   (-4 , -4) , (-4 , 5) , (2 , -4)

∵ The length of one side of the original triangle is (-7) - (-4)  = 3 units

∵ The length of the corresponding side in the image triangle is

   (5) - (-4) = 9 units

∵ The image is in the opposite side of the center of dilation

- That means the original triangle rotate 180° around the center

  of dilation

∴ The scale factor is negative

∵ The ratio between the corresponding sides are 9/3 = 3

∴ The scale factor of dilation is -3

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step-by-step explanation:

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