Question

If point Q(6, 13) undergoes a dilation with scale factor k centered at the origin to obtain Q'(19.2, 41.6). Find k, the scale factor.

Answer 1

To find the scale factor, we can use the formula k = (x'/x) = (y'/y), where (x, y) are the coordinates of the original point Q and (x', y') are the coordinates of the dilated point Q'. In this case, Q(6, 13) dilated to Q'(19.2, 41.6), so the scale factor is approximately 3.2.

Step-by-step explanation:

To find the scale factor, we can use the formula:

k = (x'/x) = (y'/y)

where (x, y) are the coordinates of the original point Q and (x', y') are the coordinates of the dilated point Q'.

In this case, Q(6, 13) dilated to Q'(19.2, 41.6), so we have:

k = (19.2/6) = (41.6/13)

k ≈ 3.2