Final answer:
To find the length of the image of segment AB after a dilation with a scale factor of 5, multiply the original length of segment AB (3 cm) by the scale factor, resulting in an image length of 15 centimeters.
Step-by-step explanation:
The length of the image of segment AB after a dilation with a scale factor of 5 can be determined by multiplying the original length of segment AB by the scale factor. Since segment AB is originally 3 centimeters long, you would calculate the dilated segment length as follows:
- Identify the original length of segment AB: 3 cm.
- Multiply the original length by the scale factor: 3 cm × 5 = 15 cm.
The length of the image of segment AB after the dilation would be 15 centimeters.