Question

recognizing relationships within a triangle given that \overline{po} is a midsegment of \triangle lmn, to which segment is \overline{mo} congruent? \overline{mp} \overline{ol} \overline{pn} \overline{po}

Explanation:

Step1: Recall the midsegment property

A midsegment of a triangle connects the mid - points of two sides of the triangle. If \(PO\) is a midsegment of \(\triangle LMN\), then \(P\) is the mid - point of \(MN\) and \(O\) is the mid - point of \(ML\).

Step2: Use the mid - point definition

By the definition of a mid - point, if \(P\) is the mid - point of \(MN\), then \(MP=PN\). If \(O\) is the mid - point of \(ML\), then \(MO = OL\).

Answer:

\(\overline{OL}\)