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Geometry Holt 4.4 Page 242 Notes 2.10B Recall from yesterday the two conjectures that you derived about the SSS triangle congruence shortcut and the SAS triangle congruence shortcut. SSS Conjecture: SAS Conjecture: Example: 1. Use SSS to explain why PQR PSR ***Remember: The Reflexive Property of Congruence was covered in Chapter 2 page 106. An included angle is________________________________________________________. In order for the SAS Conjecture to be valid, the angle chosen MUST be the one included between the two chosen sides! Not just any old angle will work! Examples: 2. The diagram shows part of the support structure for a tower. Use SAS to explain why XYZ VWZ. ***Remember: Vertical Angles are congruent was covered in Chp. 1& 2 pages 30 and 120. 3. Show that the triangles are congruent for the given value of the variable. UVW YXW, x = 3 Page 244 Example 3A You try…. Page 244 Example 3B 4. DEF JGH, y = 7 5. STU VWX, when y = 4 UT = y + 3 m T = 20 y + 12 ST = 2y + 3 UT = 4 + 3 m T = 20(4) + 12 ST = 2(4) + 3 UT = 7 m T = 80 + 12 ST = 8 + 3 m T = 920 ST = 11 T W ST VW UT WX So STU VWX by SAS 6. ** Page 244 Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. 5. 5.