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Given three sides : SSS A P 3 cm Q 3 cm 3 cm 3 cm 4 cm B 4 cm C ABC PQR R Two triangles are congruent if the tree sides of one triangle are equal to the three matching sides of the other triangles (SSS) Given two sides and the included angle : SAS B 6cm 30⁰ P 7cm A 7cm 30⁰ Q 6cm C ABC PQR R Two triangles are congruent if two sides and the included angle of one triangle are equal two the matching two sides and the included angle of the other triangle ( SAS ) Given two angles and a side : AAS 30⁰ P 5cm 30⁰ 70⁰ Q 5cm 70⁰ ABC PQR R Two triangles are congruent if two angles and a side of one triangle are equal the two matching angles and the matching side of the other triangle ( AAS ) Given a right angle, hypotenuse and side : RHS A 3cm B P 3cm Q 5cm 5cm C ABC PQR R Two right angled triangles are congruent if the hypotenuse and one side of are equal to the hypotenuse and one side of the other triangle ( RHS )