The length of AB¯ is 5 units.

What is the length of the image of the line segment after a dilation with a scale factor of 5/2?

just multiply 5 * 5/2 = 25/2

To find the length of the image of the line segment after a dilation with a scale factor of 5/2, we can use the formula:

Length of image = Scale factor * Length of original

In this case, the scale factor is 5/2, and the length of the original line segment AB¯ is 5 units. Plugging these values into the formula:

Length of image = (5/2) * 5

Multiplying the scale factor by the length of the original:

Length of image = 25/2

Therefore, the length of the image of the line segment after the dilation is 25/2 units.