Question

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

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from the original figure \(N\) to the scaled - copy \(P\) is given by \(k=\frac{\text{Length in }P}{\text{Length in }N}\).

Step2: Choose a pair of corresponding sides

We can use the sides of length \(2.8\) in \(N\) and \(3.5\) in \(P\) (or the sides of length \(1.2\) in \(N\) and \(1.5\) in \(P\)). Using the first pair: \(k = \frac{3.5}{2.8}\).

Step3: Simplify the fraction

\(\frac{3.5}{2.8}=\frac{35}{28}\) (multiply numerator and denominator by \(10\) to get rid of decimals). Then, \(\frac{35\div7}{28\div7}=\frac{5}{4}=1.25\). Using the second pair: \(k=\frac{1.5}{1.2}=\frac{15}{12}=\frac{15\div3}{12\div3}=\frac{5}{4} = 1.25\).

Answer:

\(1.25\)