Angle Measurements
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Angle Measurements

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created by student in UR tech integration course

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Angle Measurements Angle Measurements Presentation Transcript

  • Angles and their Measurements Delaine Sanders www.flicr.com/photos/34669486/N00/40234362
  • Angle Parts http://www.flickr.com/photos/dcab2/3514913853/
  • Angle Parts http://www.flickr.com/photos/dcab2/3514913853/ 2 Rays and a Vertex
  • Angle Parts . B B A B C RAY BC -> RAY BA -> POINT B BC BA
  • Angle Parts C A B 2
  • Angle Naming
    •  B
    •  A B C
    •  C B A
    •  2
    A B C 2
  • Angle Naming A B C D 1 2
  • Angle Naming
    •  A D B or  B D A
    •  B D C or  C D B
    •  A D C or  C D A
    •  1
    •  2
    A B C D 1 2
  • Angle Naming Practice (STOP) A B C D E F G
  • Measuring Angles
    • Degrees
    The angle is the amount of rotation from one ray to the other ray.
  • Measuring Angles
  • protractor Measuring Angles
  • protractor Measuring Angles 50 50 – 0 = 50 m  = 50
  • protractor Measuring Angles 130 130 – 0 = 130 m  = 130
  • Measuring Angles 50 50 – 0 = 50 180 – 130 = 50
  • Measuring Angles (STOP)
    • Measuring Angles Practice – image on note sheet
    • Note sheet, clear protractors and 6 inch rulers
    • Paper Practice
    • Measure side angle
    • Measure corner angle
    • Fold in half, measure corner angle
  • 0 ° - 90 °                                                                  Acute Angles
  • Acute Angles http://www.flickr.com/photos/24418961@N05/3524410992/
  • Acute Angles
  • 90 ° - 180 °                                                                    Obtuse Angles
  • Obtuse Angles http://www.flickr.com/photos/enlightenedfellow/1578956556/
  • Obtuse Angles
  • = 90 °                                         Right Angles
  • Right Angle http://www.flickr.com/photos/jefemontana/2317256019/
  • Right Angle http://www.flickr.com/photos/jefemontana/2317256019/
  • Straight Angle = 180 ° .
  • Straight Angle http://www.flickr.com/photos/forevermoosed/469130102/ http://www.flickr.com/photos/bolivar-trindade/3203862834/
  • Straight Angle
  • Interior / Exterior Point . A E C D F .
  • Interior / Exterior Point . A E C D Point A is interior to  D E C Point F is exterior to  D E C Ray EA is interior to  D E C F .
  • Angle Addition Postulate The sum of the two smaller angles will always equal the measure of the larger angle .
  • Angle Addition Postulate The sum of the two smaller angles will always equal the measure of the larger angle . m  MRK + m  KRW = m  MRW
  • Angle Addition Postulate 2 1  1 +  2 =  A B C A B C
  • Angle Addition Postulate 2 1  1 = 30 – 0 = 30 2 = 70 – 30 = 40 ABC = 30 + 40 = 70   A B C
  • Angle Addition Postulate http://www.flickr.com/photos/svyates/2415340942/ 1 2 Angle 1 = 2x Angle 2 = x Solve for angle 1
  • Angle Bisector
    • An angle bisector is a ray that divides an angle into two equal angles.
    A B C E
    • ABC   CBE
    • m  ABC = m  CBE
  • Bisected Angle http://www.flickr.com/photos/40256716@N00/367560012/
  • Bisected Angle http://www.flickr.com/photos/40256716@N00/367560012/
  • Bisected Angle Ray UK bisects angle U. What is the measure of angle U?