Cyclic quadrilateral

Estimated Time

10 minutes

Prerequisites/Instructions, prior preparations, if any

Circle and quadrilaterals should have been introduced.

Materials/ Resources needed

Laptop, geogebra file, projector and a pointer.

Process (How to do the activity)

1. The teacher can recall the concept of a circle, quadrilateral, circumcircle.
2. Can explain a cyclic quadrilateral and show the geogebra applet.
3. Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles.

• Developmental Questions:

1. What two figures do you see in the figure ?
2. Name the vertices of the quadrilateral.
3. Where are all the 4 vertices situated ?
4. Name the opposite interior angles of the quadrilateral.
5. What do you observe about them.

• Evaluation:

1. Compare the cyclic quadrilateral to circumcircle.

• Question Corner

1. Can all quadrilaterals be cyclic ?
2. What are the necessary conditions for a quadrilateral to be cyclic ?