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- all corresponding angles of the congruent figures must have the same measurement
- all corresponding sides of the congruent figures must be be the same length.
- Triangle Side-Angle-Side Equality
- Triangle Side-Side-Side Equality
- Triangle Angle-Angle-Side Equality
- Triangle Angle-Side-Angle Equality
This is still in use and can still be seen, but is not universal.
Also in current use is $\cong$.