Midsegment Triangles
Midpoints
Find the coordinates of points D, E, and F.
Midsegments
What would be the midsegments for the triangle? What would be the measure of each midsegment? How would the midsegments be related to the sides of the original triangle?
Points D and E are midpoints of their respective segments. What are the measures of segment DE, AB, and AC?
Critical thinking
DE is a midsegment of △ABC. Suppose FG is called a “quarter segment” of △LMN. What do you think an “eighth segment,” LM would be?
Use variable coordinates A(0, 0), B(8q, 8r), and C(8p, 0). What are the coordinates of D, E, F, G, L, and M?
What are the lengths of AC, DE, FG, and LM?
Real World
On a baseball diamond the distance between consecutive bases on a baseball field is 90 feet and they are set up in a square. A second baseman stands halfway between first base and second base, a shortstop stands halfway between second base and third base, and a pitcher stands halfway between first base and third base. What are the distances that the pitcher has to throw to each of the infielders (shortstop, 1st, 2nd, and third) during warmups?