Question

practice 8.2.02 christian lopez problems 1 - 2 segment ab is 3 centimeters long. point o is the center of dilation. how long is the image of segment ab after a dilation with a scale factor of 5? centimeters how long is the image of segment ab after a dilation with a scale factor of 3.7?

Explanation:

Step1: Recall dilation formula

Length of dilated segment = Original length×Scale - factor

Step2: Calculate for scale - factor 5

Original length of segment \(AB = 3\) cm, scale - factor \(k = 5\). So, length of dilated segment \(=3\times5 = 15\) cm

Step3: Calculate for scale - factor 3.7

Original length of segment \(AB = 3\) cm, scale - factor \(k = 3.7\). So, length of dilated segment \(=3\times3.7=11.1\) cm

Answer:

15 centimeters
11.1 centimeters