Axiom 1: Things which are equal to the same thing are equal to one another

Comparison of geometric parameters to check for their equality, for example if an area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.

Objectives
To demonstrate things which are equal to the same thing are equal to one another

Estimated Time
15 minutes

Prerequisites/Instructions, prior preparations, if any
Prior knowledge of points and lines

Materials/ Resources needed

 * Digital : Computer, geogebra application, projector.
 * Non digital : Worksheet and pencil
 * Geogebra files : “Axiom-1.ggb”

Process (How to do the activity)

 * The file demonstrates the  first Euclid's  axiom.
 * The measures of all the lines corresponds to the distance between 0 of  x-axis to point F.
 * 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.
 * Since all the lines measure the same distance (0 to point F), the lines  are equal to each other.
 * Record the segment lengths in the worksheet
 * {| class="wikitable"

Evaluation at the end of the activity
 * Position  of Distance
 * 0  - Point F
 * Length  BC
 * Length  GH
 * Length  DE
 * Length  IJ
 * }
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 * Can this be extended to other geometric shapes