Draw transformed figures and specify transformation sequences mapping one figure to another.
Identify a single transformation from a figure description
Problem
Name the \(\text{single}\) transformation completely, including the translation vector, that maps triangle \(ABC\) to a same-size triangle shifted \(5~\text{units}~\text{right}\) and \(2~\text{units}~\text{down}\).
Identify a transformation from what stays invariant and how corresponding points move. Unchanged size and orientation together with one common displacement rule out scaling, turning, and mirroring; once the motion type is recognized, encode right and down with the correct signs in horizontal-then-vertical order.
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