In the figure on the right, side F corresponds to segment N.
To find the scale factor, we can compare the corresponding sides F/N. In the figure on the left, segment FC is part of the hypotenuse of a right triangle. Let's label the vertices of the right triangle as A, B, and C.
Using the Pythagorean theorem, we can calculate the length of segment FC:
AC^2 + AB^2 = BC^2
3^2 + 4^2 = 9 + 16 = 25
√(25) = 5
Now, let's look at the corresponding sides F and N in the figure on the right. The length of side F is 1 and the length of side N is 2. Therefore, the scale factor is 2/5 = 0.4.