★ - Challenging ★★ - Difficult

The GeomeTree website provides worksheets on interactive GeomeTree that can be used for different purposes:

- to teach GeomeTree in class at school in an interactive way that fully immerses students and captures their interest and excitement
- to be used in math clubs at schools or elsewhere,
- as a source for interested students of all ages to explore extra material on GeomeTree at their own pace, driven by curiosity.

Not only are all worksheets interactive, most worksheets feature a summary, and at the end a short test, for the student to demonstrate what they learned. The students progress is saved and displayed on a certificate that can be printed at any time.

The **MOTIVATIONS** item demonstrates the capabilities of computer-based geometrical
constructions that are not available when you work with pencil, ruler and compass:

- the ability to animate constructions and thus verify or disprove a theorem as done in the worksheet titled “Visual Verification of Proofs”,
- or to demonstrate how to play Billiards dependent on the constellation of the balls.
- to construct with unlimited precision which is essential when constructing a regular 17-gon as discovered by the 19 year old Carl Friedrich Gauss in 1796.

In the **EXPLORE** item, first technical terms like Plane, Point, Line,
Ray, Segment, Midpoint, Intersection Point, Angle, Perpendicular Lines,
Parallel Lines, Triangle, Quadrilateral, Circle are explained, followed by a
worksheet demonstrating how to draw these geometric objects. This tutorial is a
pre-requisite for all later worksheets.

All items below **EXPLORE** give access to worksheets to their different topics.

GeomeTree is based on the popular and powerful GeoGebra system

https://www.geogebra.org/