![]() ASA Postulate: If there exits a correspondence between the vertices of two triangles such that two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.SAS Postulate: If there exists a correspondence between the vertices of two triangles such that the two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.Triangle Congruence Side Side Side (SSS) Angle Side Angle (ASA) Side. SSS Postulate: If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent. Included Angle Non-included angle Geometry Proof How do we prove triangles congruent.In the diagrams below, if AC = QP, angle A = angle Q, and angle B = angle R, then triangle Of another triangle, then the triangles are congruent. If two angles and a non-included side of one triangle are equal to two angles and a non-included side ![]() (The included angle is the angle formed by the two sides.) The following figure illustrates this method. ![]() If two angles and the included side of one triangle are equal to two angles and included side The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. Side Angle Side Postulate (SAS) If two sides and the included angle of one triangle. ![]() Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. Definition of a Straight Line: An undefined term in geometry. ![]()
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