Answer:
The correct option is 2.
Step-by-step explanation:
If a figure dilated by a scale factor of k with a center of dilation at the origin, then the dilation rule is defined as
[tex](x,y)\rightarrow (kx,ky)[/tex]
It is given that segment has been dilated by a scale factor of 1/4 with a center of dilation at the origin. So,
[tex](x,y)\rightarrow (\frac{1}{4}x,\frac{1}{4}y)[/tex]
From the given graph it is clear that the coordinates of point A are (4,-8).So, the image of point A is,
[tex]A(4,-8)\rightarrow A'(\frac{1}{4}(4),\frac{1}{4}(-8))[/tex]
[tex]A(4,-8)\rightarrow A'(1,-2)[/tex]
The image of point A is at (1,-2). Therefore the correct option is 2.
