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Transcript

Geometry Chapter 4 Postulates/ Theorems Theorem 4.1 â Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180ï° Theorem 4.2 â Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles Corollary to the Triangle Sum Theorem The acute angles of a right triangle are complementary Theorem 4.3 â Third Angles Theorem If two angles of one triangle are congruent to two triangles of another triangle, then the third angles are also congruent. Theorem 4.4 â Properties of Congruent Triangles B Reflexive Property of Congruent Triangles Every triangle is congruent to itself A E Symmetric Property of Congruent Triangles If ïABC ï ïDEF , then ïDEF ï ïABC C D Transitive Property of Congruent Triangles F K If ïABC ï ïDEF and ïDEF ï ïJKL , then ïABC ï ïJKL J L Postulate 19 â Side-Side-Side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent 2