Axiom 5: The whole is greater than the part
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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 the whole is greater than the part
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 : “Axiom-5.ggb”
Download this geogebra file from this link.
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
Position of Distance 0 - Point F Length BC Length GH Length DE Length IJ . .
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.