Use rigid motions to show triangle congruence through corresponding sides and angles.
Correct a mismatched triangle congruence statement
Problem
Analyze \(\triangle~ABC\cong~\triangle~DFE\) using the correspondence \(A\to~D,~B\to~E,~C\to~F\). Identify the mismatch and write the corrected congruence statement.
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What this problem is really about
The letters in a congruence statement are not interchangeable; their positions assert specific vertex pairs. Compare the proposed names column by column with the stated map, mark the first positions that disagree, and rebuild the second triangle’s name by writing each required partner beneath its source vertex.
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