Respuesta :

Answer:

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Explanation:

  • The dilation of a shape is similar to the original shape; this is because the corresponding side lengths are proportional.
  • A scale factor is how many times larger or smaller the image will be relative to the preimage. In other words, multiply the x and y-coordinates by the scale factor to get the coordinate points of the image.

The image is dilated by 1/2.

Take a look.

The coordinate labels of the preimage include: A, B, C, and D.

The coordinate labels of the image include: A', B', C', and D'.

Coordinates of point A: (2, 8)

Coordinates of point A': (1, 4)

**The preimage's x and y-coordinates multiplied by 1/2 will give you the x and y-coordinates of the image.**