Comparing Special Triangles

Directions:

This page contains  Java-GSP sketches that make take several minutes to load.

Once the applets load, drag the labeled points to see what stays the same and what changes. 
 


Equilateral Triangle

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Reflection Questions:

  1. Can an equilateral triangle be isosceles?

  2. Why do we use dynamic circles in the construction instead of just measuring congruent sides?

 


Isosceles Triangle

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Reflection Questions:

  1. Does this construction always create an isosceles triangle (no matter where the labeled points are moved)?  If so, why?

  2. Can an isosceles triangle be obtuse?


Right Triangle

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Reflection Questions:

  1. How does this construction work?

  2. Can a right triangle be isosceles?

  3. Can a right triangle be acute? obtuse?