PLSSSS HELP!!!!
ILL MARK BRAINLIEST!!!!
The dashed triangle is a dilation image of the solid triangle with the center at the origin. Is the dilation an
enlargement or a reduction? Find the scale factor of the dilation.

PLSSSS HELP ILL MARK BRAINLIEST The dashed triangle is a dilation image of the solid triangle with the center at the origin Is the dilation an enlargement or a class=

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Answer:

-2/-6 = 1/3 = 3

Step-by-step explanation:

The solid triangle has the points A(-6,0) B(6,5) and C(6,-6).

The dashed triangle has the points A1(-2,0) B1(2,1) and C1(2,-2)

The dilation of the dashed triangle is an enlargement because the scale factor is a whole number which is: 3.

Recall:

  • Dilation reduces or enlarges  a figure/shape
  • The image of a dilation is the original image before reduction or enlargement occurred.
  • The scale copy is the new image formed after reduction or enlargement as the case may be.
  • Scale factor = any side length of the new image / corresponding side length of the old image
  • If the scale factor is a fraction, the dilation it's a reduction.
  • If the scale factor is a whole number, the dilation is an enlargement.

Thus:

Find the distance between the points (2, -2) and (0, -2) for the dashed triangle.

  • Distance between  (2, -2) and (0, -2) = 2 units

Find the corresponding distance for the solid triangle using points (6, -6) and (0, -6):

  • Distance between (6, -6) and (0, -6) = 6 units

Scale factor = [tex]\mathbf{\frac{6}{2} = 3}[/tex]

The scale factor is a whole number, so, the dilation is an enlargement.

In summary, the dilation of the dashed triangle is an enlargement because the scale factor is a whole number which is: 3.

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