Difference between revisions of "Axiom 4: Things which coincide with one another are equal to one another"

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(Created page with "===Name of the activity=== Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this...")
 
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=== Objectives ===
 
=== Objectives ===
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To demonstrate things which are equal to the same thing are equal to one another
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To demonstrate things which coincide with one another are equal to one another
  
 
===Estimated Time===
 
===Estimated Time===
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=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Prior knowledge of point, lines, angles, parallel lines
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Prior knowledge of points, lines and shapes
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
 
* Digital : Computer, geogebra application, projector.
 
* Digital : Computer, geogebra application, projector.
 
* Non digital : Worksheet and pencil
 
* Non digital : Worksheet and pencil
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* Geogebra files : “[https://ggbm.at/w5abppzb Axiom-1.ggb]”
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* Geogebra files : “[https://ggbm.at/bzpch7fg Axiom-4a.ggb]” "[https://ggbm.at/yuehpbtn Axiom-4b.ggb]” “[https://ggbm.at/dbh2dxhf Axiom-4c.ggb]”
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{{Geogebra|w5abppzb}}
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{{Geogebra|bzpch7fg}}
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{{Geogebra|yuehpbtn}}{{Geogebra|dbh2dxhf}}
  
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
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* The file demonstrates the  first Euclid's axiom.
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* The files demonstrate Euclid's fourth axiom.
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* The  measures of all the lines corresponds to the distance between 0 of  x-axis to point F.
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* If a line coincides with another are they equal.
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* If the distance of point F from 0 is increased or decreased the  lengths of all the lines also varies accordingly this can be done  by using the slider '''Distance'''.
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* If a circle coincides with another are they equal.
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* Since  all the lines measure the same distance (0 to point F), the lines  are equal to each other.
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* If a pentagon coincides with another are they equal.
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* Record  the segment lengths in the worksheet
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: {| class="wikitable"
 
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|Position  of Distance
 
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|0  - Point F
 
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|Length  BC
 
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|Length  GH
 
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|Length  DE
 
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|Length  IJ
 
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'''Evaluation at the end of the activity'''
 
'''Evaluation at the end of the activity'''
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* Can you conclude if all the lines are equal to a measure on x- axis then they are equal to one another.
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* What are the parameters that should match for things to be equal

Revision as of 07:18, 24 April 2019

Name of the activity

Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)

Objectives

To demonstrate things which coincide with one another are equal to one another

Estimated Time

15 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of points, lines and shapes

Materials/ Resources needed


Download this geogebra file from this link.



Download this geogebra file from this link.


Download this geogebra file from this link.


Process (How to do the activity)

  • The files demonstrate Euclid's fourth axiom.
  • If a line coincides with another are they equal.
  • If a circle coincides with another are they equal.
  • If a pentagon coincides with another are they equal.

Evaluation at the end of the activity

  • What are the parameters that should match for things to be equal
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