Explain why the indicated triangles are congruent.P is the midpoint of  and . LO = MN. Explain why ?LPO ? ?NPM.

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Since P is the midpoint of ,   ? . Since P is the midpoint of ,   ? . Since LO = MN,   ?  . So three sides and an included angle of ?LPO are congruent to the corresponding parts of ?NPM. So ?LPO ? ?NPM by SSS.

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