Question

triangle \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\) is the image of \\( \triangle a b c \\) under a dilation with a scale factor of 2.
what is the length of segment \\( \overline { a ^ { prime } b ^ { prime } } \\)?
units

Explanation:

Step1: Find the length of segment \(AB\)

Count the units on the grid. Segment \(AB\) is \(2\) units long.

Step2: Use the dilation formula

Since the scale factor \(k = 2\), and for a dilation \(A'B'=k\times AB\). Substitute \(k = 2\) and \(AB = 2\) into the formula: \(A'B'=2\times2\).

Answer:

\(4\)