Final answer:
To find the length of the image after a dilation with different scale factors
Step-by-step explanation:
In a dilation, the image of a segment is formed by multiplying the lengths of the segment by the scale factor.
So, to find the length of the image after a dilation with a scale factor of 5, we will multiply the length of AB (3 cm) by 5. The image will be 15 cm long.
Similarly, for a scale factor of 3.7, the image will be 3.7 times the length of AB. So, the image will be 11.1 cm long.
For a scale factor of 1/5, the image will be 1/5 times the length of AB. So, the image will be 0.6 cm long.
For a scale factor of s, the length of the image cannot be determined without knowing the value of s.