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Euler's Line

Grade:
9-12
Standards:
Geometry
Math Content:
Geometry

Discover and explore Euler's Line.

How to Use

Use the red points to adjust Triangle ABC.

Buttons

  • The buttons are meant to be shown sequentially.
    • The Show/Hide Distances and Show/Hide Lengths will provide measurements that can be toggled on and off.
  • At any time, you can press the Reset button to start over.

Before using any of the buttons, explore the following:

  • How many points of concurrency does a triangle have? What are they, and how do you construct them?
    • Is it possible for any of these points to live outside of the triangle?
    • If possible, when are two or more of these points in the same location?
    • What is/are the relationship(s) between the measurements of these points, if any?
     

 

SimsonLine ICON
Geometry

Simson Line

9-12
This applet allows for the construction and exploration of the Simson Line.