Use similarity transformations to establish the AA similarity criterion.
Establish AA similarity for right triangles
Problem
Compare right triangles \(ABC\) and \(DEF\). Pair their right angles, pair the supplied \(32°\) acute angles, calculate the remaining angles as a check, and write the ordered similarity statement using \(AA\).
Right-triangle structure supplies one AA pair immediately, but one matching acute pair is still needed. We’ll pair the right angles, pair the supplied acute angles, invoke AA, compute the remaining acute angles as a check, and arrange the triangle names to preserve all three matches.
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