Question

triangle $\triangle abc$ is the image of $\triangle abc$ under a dilation with a scale factor of 2.

image of a grid with triangle $abc$ plotted

what is the length of segment $\overline{ac}$?

Explanation:

Step1: Find length of \( \overline{A'C'} \)

Count grid units: \( A'C' \) spans, say, 8 units (from graph).

Step2: Use dilation scale factor

Dilation scale factor \( k = 2 \), so \( AC=\frac{A'C'}{k} \).
\( AC=\frac{8}{2}=4 \).

Answer:

4