Kaysons Publication
- Books Name
- Kaysons Academy Maths Foundation Book
- Publication
- Kaysons Publication
- Course
- JEE
- Subject
- Maths
Cyclic Quadrilaterals
A quadrilateral ABCD is called cyclic if all the four vertices of it lie on a circle (see Fig). You will find a peculiar property in such quadrilaterals. Draw several cyclic quadrilaterals of different sides and name each of these as ABCD. (This can be done by drawing several circles of different radii and taking four points on each of them.) Measure the opposite angles and write your observations in the following table.
What do you infer from the table?
Theorem: The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
Theorem: If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.
