How might you prove your observations about the slope of a midsegment in part d using algebra and x- and y-coordinates? Briefly outline an approach using what you know about midpoints and parallel lines. Use the figure you created in GeoGebra to guide you.

I can use variables to represent the coordinates of the vertices for a general triangle ABC. then I can calculate the midpoints of the sides in terms of the same variables, and calculate the slope of each midsegment showing that the expression for the slope of a midsegment is the same as the expression for the slope of the third side of the triangle proves that the two are parallel.

Step-by-step explanation: this is word for word btw!