Answer:
True options:
[tex]D_{O,2} (x,y) = (2x, 2y)[/tex]
Side Q'S' lies on a line with a slope of -1.
The distance from Q' to the origin is twice the distance from Q to the origin.
Step-by-step explanation:
Triangle QRS is dilated according to the rule [tex]D_{O,2} (x,y).[/tex] This dilation has the rule
[tex](x,y)\rightarrow (2x,2y)[/tex]
So,
[tex]S(-1,1)\rightarrow S'(-2,2)\\ \\Q(-3,3)\rightarrow Q'(-6,6)\\ \\R(2,4)\rightarrow R'(4,8)[/tex]
True options:
[tex]D_{O,2} (x,y) = (2x, 2y)[/tex]
Side Q'S' lies on a line with a slope of -1.
The distance from Q' to the origin is twice the distance from Q to the origin.
False options:
QR is longer than Q'R', because QR is twice shorter than Q'R'.
The vertices of the image are closer to the origin than those of the pre-image, because the vertices of the per-image are closer to the origin than those of the image (see attached diagram).