Verify that dilations scale line segments by the dilation scale factor.
Find the dilation scale factor from an original segment length and its image length
Problem
An original segment has length \(8\) and its image has length \(24\). What is the scale factor?
Big Picture
What this problem is really about
The forward dilation factor compares each image length with its corresponding original length. We’ll keep those roles in order, form image divided by original, simplify the ratio rather than using a difference or sum, interpret the result as a multiplicative change, and verify it by rebuilding the image length.
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