Education Technology

The Euler Line

Published on 10/17/2008

Activity Overview

Students will:

  • Construct a scalene triangle.
  • Construct the Orthocenter, the Incenter, the Centroid, and the Circumcenter and observe that three of the four points are collinear.
  • Try to alter the properties of their construction by moving the vertices.
  • Before the Activity

    Provide each student with a copy of the attached .pdf document.

    During the Activity

    This activity will help students visualize the four main triangle center points. This exercise will challenge students as it requires them to find the coordinates of the points of intersection of the special lines built on the triangle and then show that these three points are collinear.

    After the Activity

  • Review student answers
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary