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Geom4­3.notebook                                                November 07, 2011




            BELL WORK:
           Draw a diagram and write a prove and given statement for 
           the following:

           If two triangles are congruent, then any pair of 
           corresponding medians are congruent.




          Agenda for today:
          • section 4.3
          • exit slip
          • return 4.1­4.2 quiz
          • discuss binders and notes
          • pass back graded papers




                                                                                    1
Geom4­3.notebook                                                               November 07, 2011



         4.3 ­ A Right­Angle Theorem

                                       1 and    2 are supplementary
                   1 2                 1 =    2




         Theorem: If two angles are both supplementary and 
                   congruent, then they are right angles.

          **Note: From now on, whenever 2 angles form a straight angle, the 
          two angles are supplementary. No formal statement of this will be 
          necessary.




                                                                    A
                   example 1:   Given: AB = AC
                                        BD = CD
                                Conclusion: AD is an altitude


                                                                B   D   C




                                                                                                   2
Geom4­3.notebook                                                 November 07, 2011

                                                         B
               Given: AB = AD
                       BC = CD                       E
               Prove: AC is the perpendicular    A           C

                        bisector or BD
                                                     D




           EXIT SLIP: p. 182 #1


           homework: p.182 #2­7
           due Wednesday




                                                                                     3

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Geom4-3

  • 1. Geom4­3.notebook November 07, 2011 BELL WORK: Draw a diagram and write a prove and given statement for  the following: If two triangles are congruent, then any pair of  corresponding medians are congruent. Agenda for today: • section 4.3 • exit slip • return 4.1­4.2 quiz • discuss binders and notes • pass back graded papers 1
  • 2. Geom4­3.notebook November 07, 2011 4.3 ­ A Right­Angle Theorem    1 and    2 are supplementary 1 2    1 =    2 Theorem: If two angles are both supplementary and     congruent, then they are right angles. **Note: From now on, whenever 2 angles form a straight angle, the  two angles are supplementary. No formal statement of this will be  necessary. A example 1: Given: AB = AC     BD = CD Conclusion: AD is an altitude B D C 2
  • 3. Geom4­3.notebook November 07, 2011 B Given: AB = AD     BC = CD E Prove: AC is the perpendicular  A C      bisector or BD D EXIT SLIP: p. 182 #1 homework: p.182 #2­7 due Wednesday 3