Question

for exercise 5 - 7, find the scale factor used in each dilation. 5. a square with 7 centimeters long sides dilated to a square with 56 centimeters sides.

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure, $k=\frac{\text{length of side of dilated figure}}{\text{length of side of original figure}}$.

Step2: Identify lengths

The length of a side of the original square is $a = 7$ cm and the length of a side of the dilated square is $b = 56$ cm.

Step3: Calculate scale factor

$k=\frac{56}{7}=8$

Answer:

8