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Test For Congruent Triangles Test 1 Given three sides : SSS A AB PQ S AC PR S 3 cm 3 cm B 4 cm C BC QR S P 3 cm Q ABC PQR SSS 3 cm 4 cm R Two triangles are congruent if the three sides of one triangle are equal to the three matching sides of the other triangles (SSS) Test 2 Given two sides and the included angle : SAS B 6cm 30⁰ 7cm A AB PR S ABC RPQ A P BC PQ S ABC PQR SAS 7cm 30⁰ Q 6cm R C Two triangles are congruent if two sides and the included angle of one triangle are equal to the matching two sides and the included angle of the other triangle ( SAS ) Test 3 Given two angles and a side : AAS 30⁰ 5cm 70⁰ ABC RPQ A P ACB PQR A 5cm 30⁰ 70⁰ Q BC PQ S ABC PQR AAS R Two triangles are congruent if two angles and a side of one triangle are equal to the two matching angles and the matching side of the other triangle ( AAS ) Test 4 Given a right angle, hypotenuse and side : RHS A 3cm ABC PQR R AC PR H 5cm P 3cm Q AB PR S 5cm ABC PQR RHS B C R Two right angled triangles are congruent if the hypotenuse and one side of triangle are equal to the hypotenuse and one side of the other triangle ( RHS )