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Constructing the midsegments of a triangle with compass and straightedge
(For assistance see www.mathopenref.com/constmidsegment.html)
1. Construct the midsegment of the triangle below that is parallel to the side PQ.
2. Challenge problem: In the triangle below, draw all three midsegments. However, the construction should use only three arcs. (Hint: Use the same compass width for all three).