Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Decide similarity from all corresponding dimension ratios
Problem
Decide similarity from these fixed corresponding dimensions: rectangle A is \(3~by~5\) and rectangle B is \(6~by~10\), with shorter sides corresponding and longer sides corresponding.
Similarity requires one multiplier across every corresponding linear dimension. We’ll pair shorter side with shorter side and longer with longer, keep both ratios in the same A-to-B direction, compare the independent multipliers, and base the similarity decision on whether a single dilation accounts for both.
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