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