Midsegment of Trapezoids
Midsegments
The midsegment connects the midpoints of the legs of a trapezoid.
Make a conjecture about the slopes of the bases and the midsegment of a trapezoid.
What do you notice about the slope of the bases and the slope of the midsegment? Move the vertices of the trapezoid to verify your conjecture.
Make a conjecture about the length of the midsegment.
What do you notice about the relationship between the sum of the bases (CD + AB) and the length of the midsegment? Move the vertices of the trapezoid to verify your conjecture.