Investigation: GeoGebra Geometry App

Tim Brzezinski, Stacy Thomas, Dec 14, 2020

[color=#1551b5]This GeoGebra book contains 7 exercises to help new users become familiar with GeoGebra's Geometry app[/color]. [b]EACH EXERCISE CONTAINS ONLY THE TOOLS YOU NEED[/b] to complete a particular construction. [b][color=#0a971e]Students: [/color][/b] By engaging with each exercise, you will experience JUST HOW EASY it is to use GeoGebra. More importantly, you'll also actively experience how it can serve as a POWERFUL platform for student-centered discovery of several concepts students learn in a Geometry course. Each exercise also contains a silent screencast that illustrates how to complete each construction (in case you're unsure of something or ever get stuck). Please be sure to spend some time using this tool as we will actively use this for the remainder of this course.

Table of Contents

  1. Part #1
    1. Creating Regular Polygons: Ex. 1
    2. Using Circle and Intersect Tools: Ex. 2
    3. Using the Compass Tool: Ex. 3
    4. Measuring Angles: Ex. 4
    5. Isosceles Triangle Exp: Ex. 5A
    6. Isosceles Triangle Exp: Ex. 5B
    7. Constructing Angles: Ex. 6
    8. Parallels & Perpendiculars: Ex. 7

1.

Part #1

  • 1. Creating Regular Polygons: Ex. 1
  • 2. Using Circle and Intersect Tools: Ex. 2
  • 3. Using the Compass Tool: Ex. 3
  • 4. Measuring Angles: Ex. 4
  • 5. Isosceles Triangle Exp: Ex. 5A
  • 6. Isosceles Triangle Exp: Ex. 5B
  • 7. Constructing Angles: Ex. 6
  • 8. Parallels & Perpendiculars: Ex. 7

1.1.

Creating Regular Polygons: Ex. 1

DIRECTIONS:
In the GeoGebra applet below,[br][br]1) Select the REGULAR POLYGON [icon]/images/ggb/toolbar/mode_regularpolygon.png[/icon] tool. Then plot 2 points [i]A[/i] and [i]B[/i]. [br] In the pop-up box that appears, enter "3" (without the " "). [br] This creates an "regular triangle" (equilateral & equiangular triangle). [br][br]2) Now use this same tool to construct a regular quadrilateral (square) and regular octagon. [br][br]3) Select the MOVE [icon]/images/ggb/toolbar/mode_move.png[/icon] tool. Move any one (or more) of the [b][color=#1e84cc]blue points[/color][/b] around. [br] Note these polygons always remain regular. [br][color=#0000ff][br]When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.[/color]
Quick (Silent) Demo
– Tim Brzezinski

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