![]() ![]() 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.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.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. A similarity transformation is one or more rigid transformations followed by a dilation. If two angles and a non-included side of one triangle are equal to two angles and a non-included side The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar. ![]() If two angles and the included side of one triangle are equal to two angles and included side Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. SAS congruence theorem : Two triangles are said to be congruent if the two corresponding sides and the angle included to these sides of one triangle are equal. ![]()
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