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ASA Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (Lesson 4.5) AAS Congruence Postulate If two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle,
SSS Congruence Postulate (Side-Side-Side) If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent. SAS Congruence Postulate (Side-Angle-Side) If two sides and the included angle of one triangle are congruent to two sides and an included angle of another
What triangle congruence postulate states that “If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent”?
Side-Side-Side Congruence Postulate (SSS) Words If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
So, by the SSS Congruence Postulate, you know that ¤PQW£ ¤TSW. EXAMPLE 1 GOAL 1 Prove that triangles are congruent using the SSS and SAS Congruence Postulates. Use congruence postulates in real-life problems, such as bracing a structure in Example 5. Congruence postulates help you see why triangles make things stable, such as the seaplane ...
Classify each statement as a defi nition, a postulate, a conjecture, or a theorem. a. If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines
G.G.28 Determine the congruence of two triangles by usin g one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient informa tion about the sides and/or angles of two congruent triangles.