Segments connecting midpoints of opposite sides of a quadrilateral | plane geometry | intermediate

Episode 66.

Segments connecting midpoints of opposite sides of a quadrilateral | plane geometry | intermediate.
The segments connecting the midpoints of the opposite sides of a quadrilateral intersect at their midpoints | plane geometry | intermediate level.

Branch of mathematics: plane geometry.
Difficulty level: intermediate.

Theorem. The $ABCD$ be a quadrilateral. Let $M$, $N$, $K$, $L$ be the midpoints of the sides $AB$, $BC$, $CD$, $DA$ respectively. Let $P$ be the intersection point of $MK$ and $NL$. Then $MP=PK$ and $NP=PL$.

Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry

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