# Axiom 5: The whole is greater than the part

From Karnataka Open Educational Resources

Two individual things are connected together to form one entity then each of these two things that form a whole is smaller than the whole.

### 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 files demonstrate Euclid's fifth axiom.
- With the two sliders in initial position – it can be seen that there is a larger square and a small square.
- Change in position of first slider moves the super imposed square.
- The second slider fits the small square into part to make it a whole.

**Evaluation at the end of the activity**

- If a part is taken from a whole what will remain.