Question

parallelogram i is a scaled copy of parallelogram h. what scale factor takes parallelogram h to parallelogram i?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from one figure to another is given by the ratio of corresponding side - lengths. We can use either the pair of slant - sides or the pair of horizontal sides. Let's use the horizontal sides.
The length of the horizontal side of parallelogram $H$ is $15$, and the length of the corresponding horizontal side of parallelogram $I$ is $12$.
The scale factor formula is $k=\frac{\text{length in new figure}}{\text{length in original figure}}$.

Step2: Calculate the scale factor

$k = \frac{12}{15}$
Simplify the fraction $\frac{12}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
$\frac{12\div3}{15\div3}=\frac{4}{5}=0.8$

Answer:

$0.8$