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1.4 Measure and Classify Angles                                                                                                               August 17, 2011




                1.4 Measure and Classify Angles
                  Angle: 2 different rays with same endpoint



                                                                                               Sides
                            Vertex


       Naming Angles
                                          W
                                                                                                      WXY or   YXW
                                                         Y
                                                                                                       YXZ or    ZXY
                        X                       Z
                                                                                                       WXZ or   ZXW
       Measuring Angles
            We use protractors to measure an angle
                                                                               80    90   100
                                                                        70                       110
                                                             60                                             120
                                                                               100   90   80
                                                    50                   110                    70                130
                                                                  120                                  60
                                          40              130                                                50          140

                                                    140                              0°                            40
                                     30                                                                                           150
                                             150                                                                        30
                                20                                                                                                    160
                                          160                                                                                20

                            10                                                                                                          170
                                      170                                                                                     10


                            0        180                                                                                          0     180




      Classifying Angles
              Acute: > 90                         37°
                                                                                                        133°
                                                                                                                  Obtuse: <90 and >180

                                                                                                180°



              Right: 90                     90°
                                                                                                                  Straight: = 180




HW pg. 28 #4­26 even, 34­42 even                                                                                                                                1
1.4 Measure and Classify Angles    August 17, 2011




HW pg. 28 #4­26 even, 34­42 even                     2
1.4 Measure and Classify Angles    August 17, 2011




HW pg. 28 #4­26 even, 34­42 even                     3
1.4 Measure and Classify Angles                             August 17, 2011




     Angle Addition Postulate: If P is in the interior of RST, then the
     measure of RST is equal to the sum of measures of RSP and PST
                         m   RST = m   RSP + m   PST
                                            R

                          m  RST
                                       m  RSP
                            S
                                       m  PST   P

                                   T




HW pg. 28 #4­26 even, 34­42 even                                              4
1.4 Measure and Classify Angles    August 17, 2011




HW pg. 28 #4­26 even, 34­42 even                     5
1.4 Measure and Classify Angles                             August 17, 2011




                Congruent Angles: same measure   A ≅    B




HW pg. 28 #4­26 even, 34­42 even                                              6
1.4 Measure and Classify Angles    August 17, 2011




HW pg. 28 #4­26 even, 34­42 even                     7
1.4 Measure and Classify Angles                    August 17, 2011




                                   Extra Credit Point if you do this on
                                   the board. Please raise your hand!




HW pg. 28 #4­26 even, 34­42 even                                          8
1.4 Measure and Classify Angles    August 17, 2011




HW pg. 28 #4­26 even, 34­42 even                     9
1.4 Measure and Classify Angles                  August 17, 2011




                                      HW
                                     pg. 28
                                   #4-26 even,
                                   34-42 even




HW pg. 28 #4­26 even, 34­42 even                                   10

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1.4 notes

  • 1. 1.4 Measure and Classify Angles August 17, 2011 1.4 Measure and Classify Angles Angle: 2 different rays with same endpoint Sides Vertex Naming Angles W  WXY or   YXW Y YXZ or    ZXY X Z WXZ or   ZXW Measuring Angles We use protractors to measure an angle 80 90 100 70 110 60 120 100 90 80 50 110 70 130 120 60 40 130 50 140 140 0° 40 30 150 150 30 20 160 160 20 10 170 170 10 0 180 0 180 Classifying Angles Acute: > 90 37° 133° Obtuse: <90 and >180 180° Right: 90 90° Straight: = 180 HW pg. 28 #4­26 even, 34­42 even 1
  • 2. 1.4 Measure and Classify Angles August 17, 2011 HW pg. 28 #4­26 even, 34­42 even 2
  • 3. 1.4 Measure and Classify Angles August 17, 2011 HW pg. 28 #4­26 even, 34­42 even 3
  • 4. 1.4 Measure and Classify Angles August 17, 2011 Angle Addition Postulate: If P is in the interior of RST, then the measure of RST is equal to the sum of measures of RSP and PST m   RST = m   RSP + m   PST R m  RST m  RSP S m  PST P T HW pg. 28 #4­26 even, 34­42 even 4
  • 5. 1.4 Measure and Classify Angles August 17, 2011 HW pg. 28 #4­26 even, 34­42 even 5
  • 6. 1.4 Measure and Classify Angles August 17, 2011 Congruent Angles: same measure A ≅    B HW pg. 28 #4­26 even, 34­42 even 6
  • 7. 1.4 Measure and Classify Angles August 17, 2011 HW pg. 28 #4­26 even, 34­42 even 7
  • 8. 1.4 Measure and Classify Angles August 17, 2011 Extra Credit Point if you do this on the board. Please raise your hand! HW pg. 28 #4­26 even, 34­42 even 8
  • 9. 1.4 Measure and Classify Angles August 17, 2011 HW pg. 28 #4­26 even, 34­42 even 9
  • 10. 1.4 Measure and Classify Angles August 17, 2011 HW pg. 28 #4-26 even, 34-42 even HW pg. 28 #4­26 even, 34­42 even 10