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Today you will Name and use corresponding parts of congruent polygons Prove triangles are congruent using the definition of congruence. 4.3 Congruent Triangles Definition of Congruent Polygons: Two polygons are congruent IFF their corresponding parts are congruent. List all pairs of corresponding parts. CAT = DOG Write a congruence statement and identify all pairs of corresponding congruent parts. H Y X Z K J Congruent Figures Activity a. get with the person who has the congruent figure to yours b. name corresponding congruent angles and sides c. name the congruent figures (congruence statement) Since definitions are biconditionals, if two triangles are then we know all corresponding parts are . , So we say, "Corresponding Parts of Congruent Triangles are Congruent" or CPCTC A J 9 H 5y-12 113 C 4x-3 B ABC x = _______ K KJH y = ________ Are the triangles congruent? D A C B E Third Angles Theorem: If 2 angles of one triangle are angles of a second triangle, to two then the third angles of the triangles are (( ( (( ( Properties of Triangle Conguence: Reflexive Property of Triangle Congruence: ABC ABC Symmetric Property of Triangle Congruence: If EFG then ABC EFG Transitive Property of Triangle Congruence: If ABC EFG and then ABC EFG JKL JKL ABC