Question

triangle \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\) is the image of \\( \triangle a b c \\) under a dilation.
what is the scale factor of the dilation?

Explanation:

Step1: Find the length of \(AB\) and \(A'B'\)

Count the units. \(AB = 2\) units, \(A'B'= 4\) units.

Step2: Calculate the scale factor

Scale factor \(=\frac{A'B'}{AB}\). Substitute values: \(\frac{4}{2}=2\)

Answer:

\(2\)