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1.5 Angle Pair Relationships                                                August 20, 2012




                                          Bellwork
        1. (5/12) * (6/25) = ?          1/2*1/5=1/10
        2. Classify m  Z if Z = 89.      acute
        3. Name the angle: 
                             P
                    B                 J
                                                 PBJ (ok so I was hungry)

        4. m   ADC = ? 65
                A                     D
                        21   44
                                  C
            B


        5. What is an angle bisector? 
                                     a ray that divides an angle into 2 
                                                     congruent angles




                                            Aug 25­11:58 AM

HW pg. 38 #4­9, 14­21, 31, 32                                                                 1
1.5 Angle Pair Relationships                                                                  August 20, 2012




                      1.5 Angle Pair Relationships
                                      Are they in LOVE??

       Complementary Angles: Sum of their measures is 90 degrees.
                                U + Me                                              You're
         They give              = 90                                                a cutie

         each other                                      °
                                                             45

         compliments                                                           90
                                 45
                                      °




                                                                               °
                                                                                    32
                                                                                    °




      Supplementary Angles: Sum of their measures is 180 degrees.
     They supplement
                                                                          °
                                                                          10
                                                                          0




      (complete) each other               180
                                          °

                                                    50
                                                                                         80



                                                    °
                                                                                          °




       Adjacent Angles: angles that share a common vertex and side

            Inseparable

                                                1            2




                                                         Aug 25­1:52 PM

HW pg. 38 #4­9, 14­21, 31, 32                                                                                   2
1.5 Angle Pair Relationships                     August 20, 2012




                                Aug 25­2:10 PM

HW pg. 38 #4­9, 14­21, 31, 32                                      3
1.5 Angle Pair Relationships                     August 20, 2012




                                Aug 25­3:04 PM

HW pg. 38 #4­9, 14­21, 31, 32                                      4
1.5 Angle Pair Relationships                     August 20, 2012




                                Aug 25­3:07 PM

HW pg. 38 #4­9, 14­21, 31, 32                                      5
1.5 Angle Pair Relationships                                                      August 20, 2012




       Linear Pair: adjacent angles where their non-common sides are
                   opposite rays.

                                                                Line up so perfectly
                                               1
                                   2




      Vertical Angles: 2 angles form 2 pairs of opposite rays

                                           6
                                                                         loVe or cupid?
                                       5       3
                                           4



       3 & 5 are vertical angles       3 shoots a V at 5
       4 & 6 are vertical angles       4 shoots a V at 6




                                                   Aug 25­3:08 PM

HW pg. 38 #4­9, 14­21, 31, 32                                                                       6
1.5 Angle Pair Relationships                     August 20, 2012




                                Aug 26­8:04 AM

HW pg. 38 #4­9, 14­21, 31, 32                                      7
1.5 Angle Pair Relationships                     August 20, 2012




                                Aug 26­8:07 AM

HW pg. 38 #4­9, 14­21, 31, 32                                      8
1.5 Angle Pair Relationships                        August 20, 2012




                                        HW
                                       pg. 38
                                #4-9, 14-21, 31 & 32




                                   Aug 26­8:07 AM

HW pg. 38 #4­9, 14­21, 31, 32                                         9

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1.5 notes

  • 1. 1.5 Angle Pair Relationships August 20, 2012 Bellwork 1. (5/12) * (6/25) = ?          1/2*1/5=1/10 2. Classify m  Z if Z = 89.      acute 3. Name the angle:  P B J     PBJ (ok so I was hungry) 4. m   ADC = ? 65 A D 21 44 C B 5. What is an angle bisector?  a ray that divides an angle into 2  congruent angles Aug 25­11:58 AM HW pg. 38 #4­9, 14­21, 31, 32 1
  • 2. 1.5 Angle Pair Relationships August 20, 2012 1.5 Angle Pair Relationships Are they in LOVE?? Complementary Angles: Sum of their measures is 90 degrees. U + Me You're They give = 90 a cutie each other ° 45 compliments 90 45 ° ° 32 ° Supplementary Angles: Sum of their measures is 180 degrees. They supplement ° 10 0 (complete) each other 180 ° 50 80 ° ° Adjacent Angles: angles that share a common vertex and side Inseparable 1 2 Aug 25­1:52 PM HW pg. 38 #4­9, 14­21, 31, 32 2
  • 3. 1.5 Angle Pair Relationships August 20, 2012 Aug 25­2:10 PM HW pg. 38 #4­9, 14­21, 31, 32 3
  • 4. 1.5 Angle Pair Relationships August 20, 2012 Aug 25­3:04 PM HW pg. 38 #4­9, 14­21, 31, 32 4
  • 5. 1.5 Angle Pair Relationships August 20, 2012 Aug 25­3:07 PM HW pg. 38 #4­9, 14­21, 31, 32 5
  • 6. 1.5 Angle Pair Relationships August 20, 2012 Linear Pair: adjacent angles where their non-common sides are opposite rays. Line up so perfectly 1 2 Vertical Angles: 2 angles form 2 pairs of opposite rays 6 loVe or cupid? 5 3 4 3 & 5 are vertical angles 3 shoots a V at 5 4 & 6 are vertical angles 4 shoots a V at 6 Aug 25­3:08 PM HW pg. 38 #4­9, 14­21, 31, 32 6
  • 7. 1.5 Angle Pair Relationships August 20, 2012 Aug 26­8:04 AM HW pg. 38 #4­9, 14­21, 31, 32 7
  • 8. 1.5 Angle Pair Relationships August 20, 2012 Aug 26­8:07 AM HW pg. 38 #4­9, 14­21, 31, 32 8
  • 9. 1.5 Angle Pair Relationships August 20, 2012 HW pg. 38 #4-9, 14-21, 31 & 32 Aug 26­8:07 AM HW pg. 38 #4­9, 14­21, 31, 32 9