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G­2.5 Noters _p6                                                                                   November 03, 2009



                                Agenda                          date: _______________  period:________




                      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
                                                       OW
                                                (Wednesday)

                                                     RR
                                                   MO
                                               TO




                    §2.5:                 Proving Angles ≅
                                      Complementary Angles
                                      Supplementary Angles
                            28                                       62
                         62             Adjacent Angles
                                        Vertical Angles
                   Complementary Angles  Linear Pair       Supplementary Angles
                                                                 118


                                      3
                                          2
                                                         Adjacent Angles
                                                               2
                                  1                             1
                                      4

                                Vertical Angles




                                                                         Linear Pair
                        1
                                                                    Supplementary Angles
                            2
               Complementary Angles

                                              Angle Pair Relationships:
G­2.5 Noters _p6                                                                       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 Noters _p6                                                                                     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)
G­2.5 Noters _p6                                                          November 03, 2009

                   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 Noters _p6                                 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 P6

  • 1. G­2.5 Noters _p6 November 03, 2009 Agenda date: _______________  period:________ 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 OW (Wednesday) RR MO TO §2.5: Proving Angles ≅ Complementary Angles Supplementary Angles 28 62 62 Adjacent Angles Vertical Angles Complementary Angles Linear Pair Supplementary Angles 118 3 2 Adjacent Angles 2 1 1 4 Vertical Angles Linear Pair 1 Supplementary Angles 2 Complementary Angles Angle Pair Relationships:
  • 2. G­2.5 Noters _p6 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 Noters _p6 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)
  • 4. G­2.5 Noters _p6 November 03, 2009 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
  • 5. G­2.5 Noters _p6 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
  • 6. Attachments G_2.4 HW.PDF G­Supplement to Notes­Nov3.doc