Difference between revisions of "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 | |
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=== Objectives === | === Objectives === | ||
− | + | Introduce children to linear pair of angles | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
===Estimated Time=== | ===Estimated Time=== | ||
+ | 30 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | Prior knowledge of point, lines, angles | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
+ | * Digital - Computer, geogebra application, projector. | ||
+ | * Non digital -worksheet and pencil. | ||
+ | * Geogebra files : “[https://ggbm.at/xzyjb3q4 Linear pair axiom - ray on a line.ggb]” | ||
+ | {{Geogebra|xzyjb3q4}} | ||
+ | |||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
− | How | + | * 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 180<sup>o</sup> angle | ||
+ | * Do the two angles form a linear pair | ||
+ | * Record the values of the two angles for various positions of point C | ||
− | |||
− | + | : {| class="wikitable" | |
+ | |Sl No. | ||
+ | |∠BOA | ||
+ | |∠BOC | ||
+ | |∠COA | ||
+ | |∠BOC + ∠COA | ||
+ | |Dothe angles form a linear pair | ||
+ | |- | ||
+ | |. | ||
+ | | | ||
+ | | | ||
+ | | | ||
+ | | | ||
+ | | | ||
+ | |} | ||
+ | * '''Evaluation at the end of the activity''' | ||
− | + | [[Category:Lines and Angles]] |
Latest revision as of 16:03, 4 November 2019
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
- Digital - Computer, geogebra application, projector.
- Non digital -worksheet and pencil.
- Geogebra files : “Linear pair axiom - ray on a line.ggb”
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