Question

8. Line AB is 24 millimeters long. If you dilate line AB with a scale factor of 1/4 , what would the length of the dilated line be?

Answer 1

To find the length of a dilated line with a scale factor of 1/4, multiply the original length of the line by the scale factor. For a line originally 24 millimeters long, the dilated line would be 24 mm x 1/4 which equals 6 millimeters.

Step-by-step explanation:

If line AB is 24 millimeters long and you dilate it with a scale factor of 1/4, you would be reducing the size of line AB by a factor of 4. The length of the dilated line, therefore, can be found by multiplying the original length by the scale factor as follows:

1. Identify the original length of line AB, which is 24 millimeters.
2. Multiply this length by the scale factor, 1/4, to find the new length.
3. 24 mm x 1/4 = 6 mm

The length of the dilated line is 6 millimeters.