Question

Line segment SU is dilated to create S’U’ using dilation rule. What is distance, x, between points U’ and U

Answer 1

The distance between points U and U' is given by the formula:

x = k * (UU')

where k is the scale factor of the dilation and UU' is the length of the original line segment SU.

For example, if the scale factor is 2 and the length of the original line segment SU is 10, then the distance between points U and U' would be:

x = 2 * 10 = 20

If the scale factor is 0.5 and the length of the original line segment SU is 20, then the distance between points U and U' would be:

x = 0.5 * 20 = 10

In general, the distance between points U and U' will be equal to the scale factor multiplied by the length of the original line segment SU.

Explanation: