Bisectors, Altitudes, & Medians

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The white triangle to the right can be changed by moving the three red dots.

Some definitions:

A Bisector is the line that bisects (i.e. evenly divides) the angle of one vertex of a triangle.
A Median is the line that goes from midpoint of an edge of a triangle to the opposite vertex.
An Altitude is the line that is perpendicular to one edge (or an extension of that edge) going through the opposite vertex.

Questions:
What color are the bisectors?

What color are the medians?

What color are the altitudes?

What happens when you get all three to match up with each other (become coincident) for one of the angles?

What happens when all three are coincident for two of the angles?

Which of the lines can be outside the triangle? For what kind of triangle does this happen?

What do you notice about the intersections of the same colored lines? Do a web Search to find the namess of those intersections.

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