Definition of congruency
A triangle (or indeed any two dimensional shape) is deemed congruent to another if it has the same shape and the same size.
The second triangle can be rotated, reflected or translated in any way.
The first triangle must be able to fit over the second triangle exactly.
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Tests for congruency - Side Angle Side (SAS)

Tests for congruency - Side Side Side (SSS)

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Tests for congruency - Angle Side Angle (ASA)

Tests for congruency - Right angle Hypotenuse and one Side (RHS)

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