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October 23, 2014 Questions 4.4 Quiz Friday 4.1-4.4 • Classify Triangles by Sides • Classify Triangles by Angles • Triangle Sum • Exterior Angle • Congruence Statements and Corresponding Parts • SSS • SAS • HL 4.5 Prove Triangles Congruent by ASA and AAS Postulate 21- Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. E If then Angle Side Angle A≅ D AC ≅ DF C≅ F ABC ≅ DEF B A D F C Theorem 4.6- Angle-Angle-Side (AAS) Congruence Theorem If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. E If then Angle Angle Side A≅ D C≅ F BC ≅ EF ABC ≅ DEF B A D C F October 23, 2014 Ex 1) Is it possible to prove the triangles congruent? If so, state the postulate or theorem you would use. a) Y XYZ, LMN X Z L N M b) ABC, QRS S B C R Q A Ex 2) State the third congruence that is needed to prove that given postulate or theorem. a) Given: FH ≅ LN, F≅ L, ? ≅ F≅ L, ? ≅ LMN using the L F ? Use the AAS Congruence Theorem b) Given: FH ≅ LN, FGH ≅ M G ? Use the ASA Congruence Theorem H N October 23, 2014 Ex 3) Tell whether you can use the given information to determine whether B≅ ABC ≅ DEF. Explain your reasoning. E, AB ≅ DE, BC ≅ EF Hint: draw a picture Assignment: P.252 #3-5, 7-10, 14-17, 33, 36-40 even, 41-43