Properties of cyclic quadrilateral

Activity - Name of Activity

Estimated Time

45 minutes

Materials/ Resources needed

Coloured paper, pair if scissors, sketch pen, carbon paper, geometry box

Prerequisites/Instructions, if any

1. Circles and quadrilaterals should have been covered.

Website interactives/ links/ simulations/ Geogebra Applets

This activity has been taken from the website http://mykhmsmathclass.blogspot.in/2007/11/class-ix-activity-16.html

Process (How to do the activity)

Note: Refer the above geogebra file to understand the below mentioned labelling.,br>

1. Draw a circle of any radius on a coloured paper and cut it.
2. Paste the circle cut out on a rectangular sheet of paper.
3. By paper folding get chords AB, BC, CD and DA in order.
4. Draw AB, BC, CD & DA. A cyclic quadrilateral ABCD is obtained.
5. Make a replica of cyclic quadrilateral ABCD using carbon paper.
6. Cut the replica into 4 parts such that each part contains one angle .
7. Draw a straight line on a paper.
8. Place angle BAD and angle BCD adjacent to each other on the straight line.Write the observation.
9. Place angle ABC and angle ADC adjacent to each other on the straight line . Write the observation.
10. Produce AB to form a ray AE such that exterior angle CBE is formed.
11. Make a replica of angle ADC and place it on angle CBE . Write the observation.

Developmental Questions (What discussion questions)

1. How do you take radius ?
2. What is the circumference ?
3. What is a chord ?
4. What is a quadrilateral ?
5. Where are all four vertices of a quadrilateral located ?
6. What part are we trying to cut and compare ?
7. What can you infer ?

Evaluation (Questions for assessment of the child)

1. Angle BAD and angle BCD, when placed adjacent to each other on a straight line, completely cover the straight angle.What does this mean ?
2. Angle ABC and angle ADC, when placed adjacent to each other on a straight line, completely cover the straight angle.What can you conclude ?
3. Compare angle ADC with angle CBE.

Question Corner

Name the two properties of cyclic quarilaterals.

Activity Keywords

1. Geogebra
2. Cyclic Quadrilateral

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