*Please Click the Words to Navigate*
Let us look at the 2nd Property of Angles in Opposite Segments:
- Exterior angle of Cyclic Quadrilaterals.
- If one side of a cyclic quadrilateral is produced, the exterior angle so formed is equal to the interior angle.
Proof:
angle b= 180° (opposite angles of cyclic quadrilaterals)
angle x+ angle d= 180° (adjacent angles on a straight line)
angle b+ angle d= angle x+ angle d
angle b= angle x
angle ABC= angle CDE
In this Blog.. You will learn about the 4 Properties of Circles.
~ Chords of a Circle ~The Perpendicular bisector of a Chord of a Circle passes through the Centre of the Circle
Equal Chords of a Circle are Equildistant from the Centre of the Centre
The Perpendicular from the centre of a Circle to a Chord bisects the Chord
~ Angles in a Circle ~The angle subtended by an arc at the centre of a Circle is twice the angle subtended by the same arc at the Circumference
An angle in a Semicircle is a Right- angle
The angles in the same segment of a Circle are equal
~ Angles in the Opposite Segments ~The sum of the angles in the Opposite Segments of a Circle is 180 degree
~ Tangents to a Circle ~A tangent of a Circle is perepndicular to the Radius of the Circle drawn from the point of Contact
* Tagboard Here *