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______________________ _________________________________________ ______________________ Toolbox: Essential Questions: 1) 2) Vocabulary Triangle rigidity – it states if the _________ lengths of a ______________ are given, the ____________ can have only _________ shape. Included angle – an _________ formed by _____ _______________ sides of a _______________. Remember! __________________ triangles share a ___________, so you can apply the ____________________ to get a pair of _________________ parts. Example 1: Using SSS to Prove Triangle Congruence Using SSS to explain why ABC DBC Given: Caution The letters ___________ are written in that ____________ because the __________ angles must be between ___________ of ___________ corresponding __________. Example 2: Engineering Application The diagram shows part of the support structure for a tower. Use SAS to explain why ∆XYZ ∆VWZ Example 3A: Verifying Triangle Congruence Show that the triangles are congruent for the given value of the variable. ∆MNO ∆PQR, when x = 5. Example 3B: Verifying Triangle Congruence Show that the triangles are congruent for the given value of the variable. ∆STU ∆VWX, when y = 4. Example 4: Proving Triangles Congruent Given: Prove: Statement 1) 2) 3) 4) 5) Reason 1) 2) 3) 4) 5)