Verify that dilations scale line segments by the dilation scale factor.
Find the original segment length from the image length and dilation scale factor
Problem
The image segment has length \(28\). What was the original length if the dilation scale factor is \(2\)?
Big Picture
What this problem is really about
Recovering a preimage length means undoing the forward dilation multiplication. We’ll write image length as the scale factor times the unknown original length, place the given quantities in that equation, divide by the nonzero factor to isolate the original, and reapply the dilation as a check.
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