The coordinates of k is (0, -7.5) and the scale factor is 8/5.
<h3>Similar figures</h3>
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional.
From the diagram:
OP = 8, OB = 5, OS = 12. Hence:
Scale = OP/OB = 8/5
Also:
OP / OB = OS / OK
8/5 = 12/OK
OK = 7.5
Hence k(0, -7.5)
The coordinates of k is (0, -7.5) and the scale factor is 8/5.
Find out more on similar figures at: brainly.com/question/2644832
