Explain ASA, SAS, and SSS triangle congruence criteria from rigid-motion congruence.
Choose missing information to complete a congruence criterion
Problem
Given \(A\leftrightarrow~D\), \(B\leftrightarrow~E\), \(C\leftrightarrow~F\), \(AB\cong~DE\), and \(BC\cong~EF\), determine the one additional fact that completes \(SAS\).
Work backward from the named target pattern instead of adding any fact that happens to prove congruence. With two corresponding side pairs already supplied, locate their common endpoint in each triangle; the missing angle must sit at those endpoints so it lies between the known sides and completes the intended pattern.
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