Question

GIVING MEDAL.
What is the image of Q for a dilation with center (0, 0) and a scale factor of 0.5?
A. (0.5, 2.5)
B. (2, 10)
C. (1, 2.5)
D. (10, 2)

Answer 1

Alright. Now, with the origin as center, what does dilation with any scale factor x mean?

Answer 2

i dunno :(

Answer 3

Ok, basically it means you change the image size (depending on the scale factor). So in this case, with a factor of 0.5, you are going to shrink the image to half its original size. Get it?

Answer 4

ok, yes.

Answer 5

Good, now along with the overall shape of the image, its distance from the given center (in this case, the origin) will also change.

Answer 6

ok

Answer 7

Now look at point Q. Its distance from the origin (in X direction) is 1 unit. So if I reduce the image to half, and reduce its distance from the center to half, what will be the new X co-ordinate of Q?

Answer 8

.5?

Answer 9

Correct! So the answer should have the X co-ordinate as 0.5. Since there is only a single option with 0.5 as the X co-ordinate, that is your final answer! Get it?

Answer 10

so the answer is A?

Answer 11

Yes it is.