Question

quadrilateral o is a scaled copy of quadrilateral n. what scale factor takes quadrilateral n to quadrilateral o?

Explanation:

Step1: Identify corresponding sides

Corresponding sides are \(15\) (in \(N\)) and \(24\) (in \(O\)), \(25\) (in \(N\)) and \(40\) (in \(O\)), \(30\) (in \(N\)) and \(48\) (in \(O\)).

Step2: Calculate scale factor

Scale factor \(=\frac{\text{Length in }O}{\text{Length in }N}\). Using \(15\) and \(24\): \(\frac{24}{15}=\frac{8}{5} = 1.6\). Using \(25\) and \(40\): \(\frac{40}{25}=\frac{8}{5}=1.6\). Using \(30\) and \(48\): \(\frac{48}{30}=\frac{8}{5} = 1.6\).

Answer:

\(1.6\)