View source for Axiom 4: Things which coincide with one another are equal to one another

From Euclid’s use of the word “equal” means “the same size”; two geometric figures are equal is justified by showing that one can be moved so that it coincides with the other.

=== 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===
* Digital : Computer, geogebra application, projector.
* Non digital : Worksheet and pencil
* Geogebra files : “[https://ggbm.at/bzpch7fg Axiom-4a.ggb]” "[https://ggbm.at/yuehpbtn Axiom-4b.ggb]” “[https://ggbm.at/dbh2dxhf Axiom-4c.ggb]”
{{Geogebra|bzpch7fg}}

{{Geogebra|yuehpbtn}}{{Geogebra|dbh2dxhf}}

===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

[[Category:Introduction to Euclid's Geometry]]