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CBSE Class 9 - Cyclic Quadrilaterals Videos

Cyclic Quadrilaterals

This video explains the relation between angle subtended by an arc at centre & at any point on the circumference, angles in same segment and properties of cyclic quadrilaterals.

AB is chord of a circle with centre O. Let P and T be two points on the circumpherence such that < APB # < ATB and < APB = 80 degree then what is the value of < ATB.
if a segment contains more than two angles even then all of them will be equal?
prove that a cyclic parallelogram is a rectangle
Prove that the opposite angles of a cyclic quadrilateral are supplementary.
$begin mathsize 12px style In space the space given space figure comma space straight O space is space the space centre space of space the space circle space and space angle AOC space is space equal space to space 140 degree. space Find space angle ABC. end style$
Prove that the quadrilateral formed by the bisectors of internal angles of a cyclic quadrilateral is also cyclic.
$begin mathsize 12px style increment space ABC space and space increment space ADC space are space two space right space triangles space with space common space hypotenuse space AC. space Prove space that space angle CAD space is space equal space to space angle CBD. end style$
In the figure, O is the centre of the circle and $begin mathsize 12px style angle space AOC space equals space 160 degree. space Prove space that space 3 angle space straight y space minus space 2 angle space straight x space equals space 140 degree end style$ .
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