Student Activity Day 8

~ Circumcenter ~ Orthocenter ~ Euler Line~

Student Activity

We will begin by doing investigations with Geometer's Sketchpad.

Click here for circumcenter investigations.

Now we will do investigations for the orthocenter.

Please click here to begin.

We will do investigations for the Euler Line.

Please click here to begin.

Applications involving circumcenter, orthocenter, and Euler Line

1.  Construct the circumcenter for an obtuse triangle.  Where is it located?

2.  Construct the orthocenter for an obtuse triangle.  Where is it located?

3.  Construct the circumcenter for a right triangle.  Where is it located?

4.  Construct the orthocenter for a right triangle.  Where is it located?

5.  It is the year 2060 on the lunar colony Galileo.  The Director of Food Production for Galileo, Ima Gourmet, has been instructed to located the food production facility that is equally distant from the three residential sections of the lunar colony.  Which point of concurrency does Ima need to locate?

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