Question

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

Explanation:

Step1: Recall scale - factor formula

The scale factor from quadrilateral $M$ to quadrilateral $N$ is the ratio of the corresponding side lengths of $N$ to $M$.

Step2: Choose a pair of corresponding sides

Let's use the vertical sides. The length of the vertical side in quadrilateral $M$ is 8 and in quadrilateral $N$ is 11.2.

Step3: Calculate the scale factor

The scale factor $k=\frac{\text{length in }N}{\text{length in }M}=\frac{11.2}{8} = 1.4$.

Answer:

$1.4$