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From Karnataka Open Educational Resources
Axiom 4: Things which coincide with one another are equal to one another (view source)
Revision as of 07:18, 24 April 2019
, 07:18, 24 April 2019no edit summary
=== Objectives ===
=== Objectives ===
To demonstrate things which are equal to the same thing are equal to one another
To demonstrate things which coincide with one another are equal to one another
===Estimated Time===
===Estimated Time===
=== Prerequisites/Instructions, prior preparations, if any ===
=== Prerequisites/Instructions, prior preparations, if any ===
Prior knowledge of point, lines, angles, parallel lines
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
* Geogebra files : “[https://ggbm.at/w5abppzb Axiom-1.ggb]”
* Geogebra files : “[https://ggbm.at/bzpch7fg Axiom-4a.ggb]” "[https://ggbm.at/yuehpbtn Axiom-4b.ggb]” “[https://ggbm.at/dbh2dxhf Axiom-4c.ggb]”
{{Geogebra|w5abppzb}}
{{Geogebra|bzpch7fg}}
{{Geogebra|yuehpbtn}}{{Geogebra|dbh2dxhf}}
===Process (How to do the activity)===
===Process (How to do the activity)===
* The file demonstrates the first Euclid's axiom.
* The files demonstrate Euclid's fourth axiom.
* The measures of all the lines corresponds to the distance between 0 of x-axis to point F.
* If a line coincides with another are they equal.
* 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'''.
* If a circle coincides with another are they equal.
* Since all the lines measure the same distance (0 to point F), the lines are equal to each other.
* If a pentagon coincides with another are they equal.
:
: {| class="wikitable"
'''Evaluation at the end of the activity'''
'''Evaluation at the end of the activity'''
* Can you conclude if all the lines are equal to a measure on x- axis then they are equal to one another.
* What are the parameters that should match for things to be equal
