Use rigid motions to transform figures and decide whether two figures are congruent.
Distinguish congruent figures from merely similar figures
Problem
Based on this description, are the figures congruent or only similar: same shape, all side lengths in the image are \(\text{twice}\) the preimage lengths?
Big Picture
What this problem is really about
Similarity and congruence both preserve shape, so size is the deciding feature here. Express the side-length change as one scale factor: proportional corresponding sides support similarity, while congruence additionally requires that factor to leave every length unchanged.
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