## anonymous one year ago What is the image of q for a dilation with center 0 0 and a scale factor of 0.5?

1. anonymous

2. anonymous

3. Compassionate

(x, y) = (kx, ky) (x, y) = (1, -2).... $(0.5 \times 1,\space \space 0.5 \times -2)$

4. Compassionate

Remember, if the dilation is greater than the positive integer 1, it will expand, if it is less than the positive integer 1, it will shrink. 0.5 < 1, therfore, you are shrinking the image.

5. anonymous

So I know that the coordinates of Q are 1,5 And because the dilation is less than one, the preimage is reduced rather than enlarged. So the answer would be .5, -1

6. anonymous

Correct?

7. anonymous

Err more like 0.5, 2.5?

8. Compassionate

Right. The one above was a test. I didn't want to give you it exactly, I'm glad you paid attention and realized I gave you the wrong coordinates. Good job. .5, 2.5 is right.

9. anonymous

Thank you[: Your help is much appriciated

10. Compassionate

Also note, when writing (0.5, 2.5) you should remember this is not the original units, it's actually "q prime." We represent prime by putting a " ' " symbol after. So q = 'q, or, "que equals que prime."

11. Compassionate

They're not equal, they're congruent, but this is just an example. Take care.