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## 4-5 Proving Triangles Congruent (ASA , AAS)

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**4-5 Proving Triangles Congruent (ASA , AAS)**Ms. Andrejko**Vocabulary**• Included side- the side located between two consecutive interior angles of a polygon**Postulates/Theorems/Corollaries**• P 4.3: 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 • T 4.5: If two angles and the non-included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent**Examples**Given Alt. interior <‘s≅ Given Reflexive AAS**Given**Def. of Bisector ASA CPCTC**Given**Vertical Angles are ≅ AAS**Given**Def. of bisector Reflexive AAS CPCTC**Given**Corresponding Angles Thrm. AAS**Trying Something New (6th Period)**• Stand against the side wall • Choose your seat where YOU WOULD LIKE IT • Suggestions: • If you would like to learn, pick a seat FRONT & CENTER • If you don’t care about the material, pick a seat as far in the back as possible, so you aren’t distracting the rest of us.