Pythagoras

Markus Hohenwarter, Mar 29, 2014

Table of Contents

  1. Plane
    1. "A-Mazing" Translation and Rotation Practice 5
  2. Space
    1. Circle Reflection: Metric Space
    2. ab pythagoras vinkel

1.

Plane

  • 1. "A-Mazing" Translation and Rotation Practice 5

1.1.

"A-Mazing" Translation and Rotation Practice 5

Move the ladybug through the maze! There is workspace for any vectors you may need to create. [br]You will also need to plot points for rotation.
"A-Mazing" Translation and Rotation Practice 5
If you are working in the Java version of GeoGebra, you can see your steps. Right click [br]on the grid and check Navigation Bar. Play back your steps and watch the bug go through [br]the maze! Click on View and check Construction Protocol; this shows your steps. [br][br]Take a screenshot of the whole page for your teacher.
– Jennifer Silverman

2.

Space

  • 1. Circle Reflection: Metric Space
  • 2. ab pythagoras vinkel

2.1.

Circle Reflection: Metric Space

...And what does this reflection business look like, anyway?

Notes: 1. Geogebra does not know how to reflect segments in a straight line with the inversion center (point A). (Other objects work beautifully). To Do: {Clean up! Give the knife coordinate grid a zero point! Include some objects. The worksheet feels klunky to me. Feedback appreciated} _________________ The Tangent Circle Problem: [list] [*]1. Tangent along the rim: solve for k [*]2a. Initial position: [url]http://www.geogebratube.org/material/show/id/58360[/url] [*]2b. Tangent to equal circles: [url]http://www.geogebratube.org/material/show/id/58455[/url] [*]3a. Four mutually tangent & exterior circles (Apollonius): [url]http://www.geogebratube.org/material/show/id/58189 [/url] [*]3b. Vector reduction: [url]http://www.geogebratube.org/material/show/id/58461[/url] [/list] [list] [*]Affine Transformation [url]http://www.geogebratube.org/material/show/id/58177[/url] [*]Reflection: Line about a Circle [url]http://www.geogebratube.org/material/show/id/58522[/url] [*]Reflection: Circle about a Circle: [url]http://www.geogebratube.org/material/show/id/58185[/url] [*][b]→Reflection about a Circle: The Metric Space[/b] [/list] Solution: [list] [*]Sequences 1: Formation [url]http://www.geogebratube.org/material/show/id/58896[/url] [*]Sequence 1: Formation [url]http://www.geogebratube.org/material/show/id/59816[/url] [*]Sequence 1: Iteration 1 [url]http://www.geogebratube.org/material/show/id/59828[/url] [*]Example of equivalent projections: [url]http://www.geogebratube.org/material/show/id/65754[/url] [*]Final Diagram: [url]http://www.geogebratube.org/material/show/id/65755[/url] [/list]
– Ryan Hirst

2.2.

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