Question

△BOK∼POS. Identify the coordinates of K and the scale factor.

Answer 1

The coordinates of k is (0, -7.5) and the scale factor is 8/5.

Similar figures

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.

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