The midsegments divide any triangle in congruent triangles
- Author:
- Irina Boyadzhiev
A midsegment of a triangle is a segment that connects the midpoints of any two sides of the triangle.
This applet demonstrates that the three midsegments of any triangle divide the original triangle in four congruent triangles.
The demonstration is based on the following properties:
1.The midsegment is always parallel to the third side of the triangle.
2. Any parallelogram has a rotational symmetry with center the intersection point of the diagonals and angle of rotation .