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).
 

Sorry, this page requires a Java-compatible web browser.  
 

 

Figure	Name of the most specific figure  formed by connecting midpoints
Quadrilateral	-
Parallelogram	-
Rectangle	-
Square	-
Rhombus	-
Trapezoid	-