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Cyclic quadrilateral formed by inscribed angle from the midpoint of an arc | geometry | intermediate
2 months ago
34
Science
mathematics
geometry
plane geometry
classical geometry
chord
circle
quadrilateral
cyclic
cyclic quadrilateral
angle
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
The same video on YouTube:
https://youtu.be/PoKvmIcubes
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https://t.me/mathematical_bunker/87
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