Given:
O, P, and Q be distinct collinear points with PQ=3.
P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4.
To find:
The length of the image segment P'Q'.
Solution:
We know that,

P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4. So, Segment P'Q' is the image of segment PQ and the scale factor is 4.

It is given that PQ=3.

Multiply both sides by 3.


Therefore, the length of the image segment P'Q' is 12 units.
Answer:
it's called Continental Drift!
what you said it's fails