Question

what scale factor takes hexagon j to hexagon k?hexagon jhexagon khexagon k is a scaled copy of hexagon j.

Explanation:

Step1: Identify corresponding sides

Hexagon K is a scaled - copy of hexagon J. We can use the ratio of corresponding sides. Let's take the side of length 8 in hexagon J and the corresponding side of length 20 in hexagon K.

Step2: Calculate the scale factor

The scale factor \(s\) is given by the formula \(s=\frac{\text{length of side in K}}{\text{length of corresponding side in J}}\). Substituting the values, we have \(s = \frac{20}{8}\).
Simplify \(\frac{20}{8}=\frac{5}{2}=2.5\).

Answer:

The scale factor is \(2.5\)