Question

Triangle QRS is dilated according to the rule DO,2 (x,y).

What is true about the image △Q'R'S'? Check all that apply.

DO,2 (x,y) = (2x, 2y)
Side Q'S' lies on a line with a slope of -1.
QR is longer than Q'R'.
The vertices of the image are closer to the origin than those of the pre-image.
The distance from Q' to the origin is twice the distance from Q to the origin.

Answer 1

1, 2, 5 on Ed

Explanation:

Answer 2

True options:

`D_(O,2) (x,y) = (2x, 2y)`

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.

Explanation:

Triangle QRS is dilated according to the rule
`D_(O,2) (x,y).` This dilation has the rule

`(x,y)\rightarrow (2x,2y)`

So,

`S(-1,1)\rightarrow S'(-2,2)\\ \\Q(-3,3)\rightarrow Q'(-6,6)\\ \\R(2,4)\rightarrow R'(4,8)`

True options:

`D_(O,2) (x,y) = (2x, 2y)`

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).