Given a triangle MNK and a point O. Construct a figure F onto which the triangle MNK is mapped

Given a triangle MNK and a point O. Construct a figure F onto which the triangle MNK is mapped with central symmetry centered at O.

Let’s connect the point O, the center of symmetry, with the vertices of the MНК triangle.

On the continuation of the segment ОМ, set aside the segment ОМ1, the length ОМ1 = ОМ.

Similarly, on the extensions of the OH and OK segments, lay off the segments OH1 and OK1, OH1 = OH, OK1 = OK. Let’s connect the points М1Н1К1.

The resulting figure M1H1K1 is symmetrical to MНК relative to point O.