On this page, we explore what happens when we connect the midpoints of the sides of our quadrilaterals. Experiment with the sketch below to determine the relationships that exist when you create a figure from the midpoints of the sides of a quadrilateral. Fill in the table that follows as well.
These figures and their midpoint figures
have been constructed in the sketch below (It is Java-based so if you cannot
access it download the
real sketch here and use The Geometer's Sketchpad to open it, available
from Key Curriculum Press).
Figure Name of the most specific figure
formed by connecting midpoints
- Parallelogram - Rectangle - Square - Rhombus - Trapezoid -