Linear pair axiom : If a ray stands on a line, then the sum of two adjacent angles so formed is 180 degrees

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Two adjacent angles are said to be form a linear pair of angles, if their non-common arms are two opposite rays. Linear pair axiom of theorems are if a ray stands on a line , then the sum of two adjacent angles so formed is 180 degree

Objectives

Introduce children to linear pair of angles

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles

Materials/ Resources needed


Download this geogebra file from this link.


Process (How to do the activity)

  • Prior hands on activity
  • Start with coinciding point C with the point B
  • What is the angle formed by the line
  • Move point C above and slowly rotate around point 0
  • How many angles do you notice
  • Name the angles formed : what are their measure
  • Do the two angles together form a 180o angle
  • Do the two angles form a linear pair
  • Record the values of the two angles for various positions of point C


Sl No. ∠BOA ∠BOC ∠COA ∠BOC + ∠COA Dothe angles form a linear pair
.
  • Evaluation at the end of the activity