Assignment 9

by

Allison McNeece

Construct any triangle ABC. Constuct any point in the plane and label it P. Extend the line which formed AB and construct a line perpendicular which intersects P. Label the intersection of the two lines *s*. Extend the line which formed AC and construct a line perpendicular which intersects P. Label the intersection of these two lines *t*. Do the same for the line which formed CB and label the intersection *r*.

Triangle *rst* is called the** Pedal Triangle** and P is the **Pedal Point**.

What happens when you move P around?

Click on P to move it around. You may also click on the vertices of ABC to see how things change when you start with a different triangle.

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What happens if you move P inside the triangle ABC?

What if P lies on one side of triangle ABC?

What if P is moved to one of the vertices of triangle ABC?

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