Answer :

Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.

Explanation:

  • Center of a dilation is considered as a fixed point in the given plane.
  • Around the center point of dilation all the points of the given and new figure expanded or contracts.
  • Translate the center of dilation and the given figure , now origin becomes the center and translate back to get the center of dilation.
  • Scale factor can be calculated as the ratio of the dimension of the new image formed to the dimensions of the old given image.
  • If new or old images not defined then ratio of larger to the smaller image gives the scale factor.

Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.

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