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Proving Triangles Congruent by SAS Name You can also prove two triangles congruent by using relationships between a pair of corresponding sides and an included angle. The word included refers to the angles and sides of a triangle as shown below. A is the included angle of sides __________ and __________. B is the included angle of sides __________ and __________. C is the included angle of sides __________ and __________. BC is the included side of angles __________ and __________. AC is the included side of angles __________ and __________. AB is the included side of angles __________ and __________. Side-Angle-Side (SAS) Postulate If two sides and the included angle of one triangle are congruent to two corresponding sides and the included angle of a second triangle, then the two triangles are congruent. 1. Given: X is the midpoint of BD , X is the midpoint of AC Prove: DXC BXA Proof: Statements D A X C B Reasons S 2. Given: 1 and 2 are right angles, 1 ST PT T 2 Prove: STR PTR Proof: Statements Reasons P R What other information do you need to prove DEF FGD ? Explain. What other information do you need to prove LEB BNL ? Explain. Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. a) b) c) d) Reflection: 1. Can both SSS and SAS Postulate be used to prove the triangles congruent? Explain?