What is true about the image ΔQ'R'S'? Select three options. Which statements are true?

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.

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:

The explanations are as follows

As we can see from the attached figure that the ΔQ'R'S' is dilated i.e transformation is made or change in size

Now

Based on

(x,y) = (2x,2y)

The intercepts are as follows

For S

(-1,1)  = (-2,2)

For Q

(-3,3) = (-6,6)

For S

(2,4) = (4,8)

Based on this we can say that the three above options are correct

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x