Introduction to GeoGebra

John Williams, Jun 10, 2016

An introduction to the basics of GeoGebra. For use in high school geometry classes for students seeing Geogebra for the first time.

Table of Contents

  1. Creating Geometric Figures
    1. Polygons and Dragging
    2. Congruent Circles
    3. A Square
    4. Tangram Puzzle
  2. Examining Geometric Properties
    1. Pythagoras's Squares

1.

Creating Geometric Figures

  • 1. Polygons and Dragging
  • 2. Congruent Circles
  • 3. A Square
  • 4. Tangram Puzzle

1.1.

Polygons and Dragging

Instructions
Locate the Polygon Tool (it looks like a triangle). Use the polygon tool to create a polygon with six sides. Once you have a polygon, use the Move Tool (it looks like an arrow) to try to drag the points so that each of the six sides is the same length.
– John Williams

1.2.

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1.3.

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1.4.

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2.

Examining Geometric Properties

  • 1. Pythagoras's Squares

2.1.

Pythagoras's Squares

Instructions
So far you've been looking at a very simple version of GeoGebra. Here you can see that a new column has opened up on the left, which shows information about all the elements in your workspace. Try moving points A, B, and C, and watch what happens to the information on the left.[br]
Question 1
What do you think the values of a, b and c in the column on the left represent? How about the value for poly1?
What kind of a point is point C?
Instructions
Now use the Regular Polygon tool to add a square to each of the sides of the triangle. Select the tool, then click on Point B, then Point A, then enter 4 in the menu that pops up. Next click on Point A, then Point C, and enter 4. Repeat for side CB. Drag Points A, B, and C around and watch the measurements of poly2, poly3, and poly4.
Pythagorean...
What do you notice about the sum poly2 and poly3 compared with poly4? If you're not sure, try entering 'poly2+poly3' in the [b]Input Bar [/b]at the bottom of the GeoGebra workspace.
– John Williams

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