Today our topic of discussion is Mathematics Circle Exercises 8.2.
Mathematics Circle Exercises 8.2
Exercise 8.2
- ABCD is a quadrilateral inscribed in a circle with centre O. If the diagonals AC and BD intersect at the point E, prove that ∠AOB + ∠COD=2 ∠AEB.
- ABCD is a quadrilateral inscribed in a circle with centre O where ∠ADB * 4 ∠BDC = 1 right angle. Prove that, A, O and C lie in the same straight line.
- Show that, the oblique sides of a cyclic trapezium are equal.
- In the figure, the centre of the circle is O and OB = 2.5cm
1) Evaluate the parameter of the circle ABCD.
2) Prove that ∠BAD = 2 ∠BOD
3) If AC and BD intersect at the point E, prove that, ∠AOB+ ∠COD = 2∠AEB.
- Two chords AB and CD of the circle ABCD intersect at the point E. Show that, ΔAED and ΔBEC are equiangular.
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