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G­2.5 Notes ­ p5                                                                                November 03, 2009



                         Agenda                              date: _______________  period:________



                   Vocabulary Quiz
                                         §
                   Lesson ~ 2.5 ­ Proving Angles Congruent
                                                 place this assignment in the top left­hand 
                                                 box on "October" (the 1st box under 
                                                 Monday).
                    Homework ~ 2.5:  #1­35
                                             (Wednesday)
                                                             R OW
                                                M OR
                                           TO




                   §2.5:                 Proving Angles ≅
                                          Complementary Angles
                                          Supplementary Angles
                        28                                                            62
                                            Adjacent Angles
                                            Vertical Angles
                                             Linear Pair                       118
                             3
                                     2
                                                                     Supplementary Angles
                        1
                             4

                                                                 2
                     Vertical Angles                         1
                                                        Adjacent Angles




                             1
                                 2                               Supplementary Angles
                    Complementary Angles                                Linear Pair
                                                                       Adjacent Angles

                                     Angle Pair Relationships:
G­2.5 Notes ­ p5                                                                        November 03, 2009

                   ex (1)                     Identify the Angle Pairs



                                                    2
                                              1            3
                                   5              4




                        Thm 2.1:  Vertical Angle Thm.
                                     Vertical angles                    2
                                                                    1        3
                                     are congruent.                      4


                        Proof of Thm. 2.1:
                             Given:          1&   3 are vertical angles.
                             Prove:          1≅    3
                                                                    (paragraph proof)
G­2.5 Notes ­ p5                                                                                           November 03, 2009

                   Thm 2.2:  Congruent Supplements Thm.
                          If 2 angles are supplementary
                          to the same angle, then they                         2
                          are congruent.                                   1               3
                                                                                   4




                    Proof of Thm. 2.2
                                                                                               2
                            Given:      Angles 1 & 2 are supplementary                                 1
                                        Angles 2 & 3 are supplementary
                                                                                                   3
                            Prove:      Angle 1 is congruent to angle 3.
                                                                               (paragraph proof)




                   Thm 2.3:  Congruent Complements Thm.
                     If 2 angles are complementary                         3
                     to the same angle, then the                                   1           2
                     2 angles are congruent.




                   Thm 2.4:  "Right Angle" Thm.
                                        All right angles are congruent.

                   Thm 2.5:  "≅ Right Angle" Thm.
                    If 2 angles are
                                                                               1       2
                    congruent & supplementary,
                    then each is a right angle.                                3 4
G­2.5 Notes ­ p5                                  November 03, 2009




             Assessment
       Ch. 2 Assessment
                   Tuesday 11/3 ⇒ 2.5 Notes

             Wednesday 11/4 ⇒ Review of Ch. 2 Material
                              Take­home Assessment

                   Thursday 11/5 ⇒ Begin Ch. 3
Attachments



     G_2.4 HW.PDF

     G­Supplement to Notes­Nov3.doc

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G Nov3 P5

  • 1. G­2.5 Notes ­ p5 November 03, 2009 Agenda date: _______________  period:________ Vocabulary Quiz § Lesson ~ 2.5 ­ Proving Angles Congruent place this assignment in the top left­hand  box on "October" (the 1st box under  Monday). Homework ~ 2.5:  #1­35 (Wednesday) R OW M OR TO §2.5: Proving Angles ≅ Complementary Angles Supplementary Angles 28 62 Adjacent Angles Vertical Angles Linear Pair 118 3 2 Supplementary Angles 1 4 2 Vertical Angles 1 Adjacent Angles 1 2 Supplementary Angles Complementary Angles Linear Pair Adjacent Angles Angle Pair Relationships:
  • 2. G­2.5 Notes ­ p5 November 03, 2009 ex (1) Identify the Angle Pairs 2 1 3 5 4 Thm 2.1:  Vertical Angle Thm. Vertical angles 2 1 3 are congruent. 4 Proof of Thm. 2.1: Given: 1& 3 are vertical angles. Prove: 1≅ 3 (paragraph proof)
  • 3. G­2.5 Notes ­ p5 November 03, 2009 Thm 2.2:  Congruent Supplements Thm. If 2 angles are supplementary to the same angle, then they 2 are congruent. 1 3 4 Proof of Thm. 2.2 2 Given: Angles 1 & 2 are supplementary 1 Angles 2 & 3 are supplementary 3 Prove: Angle 1 is congruent to angle 3. (paragraph proof) Thm 2.3:  Congruent Complements Thm. If 2 angles are complementary 3 to the same angle, then the 1 2 2 angles are congruent. Thm 2.4:  "Right Angle" Thm. All right angles are congruent. Thm 2.5:  "≅ Right Angle" Thm. If 2 angles are 1 2 congruent & supplementary, then each is a right angle. 3 4
  • 4. G­2.5 Notes ­ p5 November 03, 2009 Assessment Ch. 2 Assessment Tuesday 11/3 ⇒ 2.5 Notes Wednesday 11/4 ⇒ Review of Ch. 2 Material Take­home Assessment Thursday 11/5 ⇒ Begin Ch. 3
  • 5. Attachments G_2.4 HW.PDF G­Supplement to Notes­Nov3.doc