Question

Line segment ST¯¯¯¯¯ and point C are shown below. Simon dilates ST¯¯¯¯¯ by a scale factor of 5 through center C to produce line segment S'T'¯¯¯¯¯¯ .

Answer 1

Explanation

In the question, we are given that Simon dilates ST by a scale factor of 5 through center C to produce line segment S'T'.

The dilation, in this case, implies that an enlargement of the pre-image ST has occured. This will then give an image S'T' which is 5 times the pre image.

$\begin{gathered} \therefore\text{ If S'T'=k}\times ST \\ k\text{ would give 5, for the statement to hold} \end{gathered}$

Answer: 5