Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:

(K*a, K*b)

In this case, we can find the original coordinates of the endpoints of the original segment.

Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.

The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).

The first endpoint is (6, 9) and (12, 12)

Now we apply a dilation with a scale factor K = 2/3.

then we get the points:

((2/3)*6, (2/3)*9) = (4, 6)

and the other point is:

((2/3)*12, (2/3)*12) = (8, 8)

Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)

The segment can be seen in the graph below.

both equations and proportions are better.

da freeck kinda math is this just drop out

step-by-step explanation: