Working with Angles

Section 1.6

 

 

 

  An angle is formed by two rays with a common endpoint.

 

  The common endpoint is the vertex of the angle and the rays are the

                sides of the angle.

 

   You can name an angle by

·        its vertex or

·        a number inside the angle  or

·        a point on one ray, the vertex and a point on the other ray.   When using three points to name the angle the vertex is always name in the middle. 

 

 

  If at all possible we will name an angle by using the three points

               (a point on one ray, the vertex and a point on the other ray)

 

Symbol: 

 

 

 

Angles in our Example include

 

*   1

 AED  or  DEA

 DEB  or  BED

 DEC  or  CED

 BEC  or  CEB

 AEC  or  CEA

 BEA  or  AEB

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

          

 

The red marks show that the angles are congruent. 

 BEC  CED

 

 

 

The measure of the

angle DEC is written

" m      DEC"

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

               You use a protractor to measure an angle in degrees ( o )

 

 

 

                Internet Resources on using a protractor

·        http://www.cogtech.com/EXPLORER/protract.htm   Interactive Site

 

·        http://www.ex.ac.uk/cimt/mepres/book7/bk7i5/bk7_5i2.htm    Interactive Site 

 

·        http://www.jaconline.com.au/maths/qld/junior/spatial/angles/skillbuilders/MS-measuring-angles-pro.pdf       Great Handout with practice problems.

 

·        http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm   Interactive Site

 

 

 

                         Angle Addition:

 


      If D is in the interior of       ABC,

then m      ABD  + m       DBC  = m         ABC

 

 

 

 

 

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