Answer:
<em>Answer: Choice G.</em>
Step-by-step explanation:
<em>Dilations</em>
Suppose a point P(x,y) is dilated across the origin, that is, the origin is the center of dilation, by a scale factor k.
The image of P is P' whose coordinates are P'(kx,ky).
If an image is formed by several points and each one is dilated by the same factor, then:
If |k| > 1, the image maps to a stretched or larger image.
If |k| < 1, the image maps to a shrunk or shorter image.
We have a hexagon graphed on a coordinate grid. The hexagon is dilated to create a larger hexagon. This means k must be greater than 1 and it should multiply each original coordinate (x,y).
Options F and H don't multiply by the coordinates but add to them, thus they are not valid answers.
Option J actually multiplies by the factor 0.2 but since it's less than 1, it does not correspond to an enlargement.
Only option G multiplies by a factor 4/3=1.3 greater than 1.
Answer: Choice G.
