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The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation

Sagot :

ajeigbeibraheem

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

What is the transformation rule?

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

[tex]\mathbf{(x,y) \to (k_x, k_y)}[/tex]

where;

  • k = scale factor

From the given information:

  • The scale factor = 2
  • the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

  • A = (-1, -1)
  • D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

Learn more about the transformation rule in coordinate planes here:

https://brainly.com/question/4251601

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