Respuesta :

the answer would be D. (2,2)
Since the scale factor is 1/2, all you have to do is multiply 1/2 by each of x-coordinate and y-coordinate of Q.
Multiplying by 1/2 is the same as dividing by 2, so you divide the x and y coordinates of Q to get the dilation image of Q as (2,2).

The coordinates of the image of Q for dilation with center (0, 0) and scale factor 1/2 would be (2,2).

How does dilation work?

Dilation of a figure will leave its sides to get scaled (multiplied) by the same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.

It's like we enlarge or shorten the size of the figure (or keep it the same, when scale factor = 1).

Since the scale factor is 1/2, all we have to do is multiply 1/2 by each of the x-coordinate and y-coordinate of Q.

We get,

Q = (4, 4)

= 4/2 , 4/2

= 2 , 2

Thus, The x and y coordinates of Q to get the dilation image of Q as (2,2).

Learn more about scale factors;

https://brainly.com/question/11405645

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