Final answer:
After a dilation with a scale factor of 5, the length of the image of segment ab, which originally measures 3 cm, would be 15 cm. The correct answer is A. 15 cm.
Step-by-step explanation:
The content loaded question asks: Segment ab measures 3 cm. Point o is the center. After a dilation with a scale factor of 5, how is the image of ab? The possible answers are A. 15 cm B. 1.5 cm C. 0.6 cm D. 3 cm. Dilation in geometry is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor determines how much larger or smaller the image will be compared to the original.
To find the size of the image after dilation, we multiply the original size by the scale factor. In this case, the original size of segment ab is 3 cm, and the scale factor is 5. Therefore, we multiply 3 cm by 5 to obtain the length of the dilated image segment.
3 cm × 5 = 15 cm. Thus, the correct answer is A. 15 cm, which is the length of the image of segment ab after the dilation.