- Opposite Angles of a Cyclic Quadrilateral Are Supplementary
- The Exterior Angle of a Cyclic Quadrilateral is Equal to the Opposite Interior Angle (Without Proof)
Shaalaa.com | Circles (Cyclic Properties Part 1)
D and E are points on equal sides AB and AC of an isosceles triangle ABC such that AD = AE. Prove that the points B, C, E and D are concyclic.
In the figure given, O is the centre of the circle. `angle "DAE" = 70^@`, Find giving suitable reasons the measure of:
1) `angle "BCD"`
2) `angle "BOD"`
3) `angle "OBD"`
In the following figure, ABCD is a cyclic quadrilateral in which AD is parallel to BC.
If the bisector of angle A meets BC at point E and the given circle at point F, Prove that:
(i) EF = FC (ii) BF = DF
In the given figure, PAT is tangent to the circle with centre O at point A on its circumference and is parallel to chord BC. If CDQ is a line segment , show that:
(i) ∠BAP = ∠ADQ
(ii) ∠AOB = 2∠ADQ
(iii) ∠ADQ = ∠ADB
In the given figure, AB is the diameter of a circle with centre O. ∠BCD = 130o. Find: