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High School Mathematics - 2
8.3 Cyclic Quadrilateral

Cyclic Quadrilateral: A quadrilateral whose vertices lie on the circumference of a circle is called cyclic quadrilateral.
Theorem: Opposite angles of a cyclic quadrilateral are supplementary.

Proof:


Directions: Solve the following.
Q 1:
Answer:

Q 2: Prove that the exterior angle of a cyclic quadrilateral is equal to its interior opposite angle.
Answer:

Q 3:
Answer:

Q 4:
Answer:

Q 5: PQRS is a cyclic quadrilateral, if angleQ = angleR = 65o, find angle P and angle S.
100o
120o
115o

Q 6: Prove that when a parallelogram is inscribed in a circle it becomes a rectangle
Answer:

Q 7:
Answer:

Q 8:
Answer:

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