Cyclic quadrilateral formed by inscribed angle from the midpoint of an arc | geometry | intermediate

Episode 63.

Cyclic quadrilateral formed by inscribed angle from the midpoint of an arc | geometry | intermediate.
The cyclic quadrilateral formed by an inscribed angle from the midpoint of an arc intersecting the circle and the chord | plane geometry | intermediate level.

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

Theorem. Let $M$ be the midpoint of an arc $AB$ of a circle. Let $CMD$ be an inscribed angle intersecting the chord $AB$ at $P$ and $Q$. Then the quadrilateral $CDQP$ is cyclic.

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

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