Difference between revisions of "Properties of cyclic quadrilateral"
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==Estimated Time== | ==Estimated Time== | ||
| − | + | 45 minutes | |
==Materials/ Resources needed== | ==Materials/ Resources needed== | ||
| + | Coloured paper, pair if scissors, sketch pen, carbon paper, geometry box | ||
==Prerequisites/Instructions, if any== | ==Prerequisites/Instructions, if any== | ||
| + | # Circles and quadrilaterals should have been covered. | ||
==Multimedia resources== | ==Multimedia resources== | ||
==Website interactives/ links/ simulations/ Geogebra Applets== | ==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)== | ==Process (How to do the activity)== | ||
| + | Note: Refer the above geogebra file to understand the below mentioned labelling.,br> | ||
| + | # Draw a circle of any radius on a coloured paper and cut it. | ||
| + | # Paste the circle cut out on a rectangular sheet of paper. | ||
| + | # By paper folding get chords AB, BC, CD and DA in order. | ||
| + | # Draw AB, BC, CD & DA. A cyclic quadrilateral ABCD is obtained. | ||
| + | # Make a replica of cyclic quadrilateral ABCD using carbon paper. | ||
| + | # Cut the replica into 4 parts such that each part contains one angle . | ||
| + | # Draw a straight line on a paper. | ||
| + | # Place angle BAD and angle BCD adjacent to each other on the straight line.Write the observation. | ||
| + | # Place angle ABC and angle ADC adjacent to each other on the straight line . Write the observation. | ||
| + | # Produce AB to form a ray AE such that exterior angle CBE is formed. | ||
| + | # Make a replica of angle ADC and place it on angle CBE . Write the observation. | ||
==Developmental Questions (What discussion questions)== | ==Developmental Questions (What discussion questions)== | ||
| + | # How do you take radius ? | ||
| + | # What is the circumference ? | ||
| + | # What is a chord ? | ||
| + | # What is a quadrilateral ? | ||
| + | # Where are all four vertices of a quadrilateral located ? | ||
| + | # What part are we trying to cut and compare ? | ||
| + | # What can you infer ? | ||
==Evaluation (Questions for assessment of the child)== | ==Evaluation (Questions for assessment of the child)== | ||
| + | # Angle BAD and angle BCD, when placed adjacent to each other on a straight line, completely cover the straight angle.What does this mean ? | ||
| + | # Angle ABC and angle ADC, when placed adjacent to each other on a straight line, completely cover the straight angle.What can you conclude ? | ||
| + | # Compare angle ADC with angle CBE. | ||
==Question Corner== | ==Question Corner== | ||
| + | Name the two properties of cyclic quarilaterals. | ||
==Activity Keywords== | ==Activity Keywords== | ||
| + | #Geogebra | ||
| + | #Cyclic Quadrilateral | ||
| − | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Circles_and_lines Back] | |
| − | |||
| − | [http://karnatakaeducation.org.in/KOER/en/index.php/ | ||
Revision as of 02:45, 10 July 2014
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
- Circles and quadrilaterals should have been covered.
Multimedia resources
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>
- Draw a circle of any radius on a coloured paper and cut it.
- Paste the circle cut out on a rectangular sheet of paper.
- By paper folding get chords AB, BC, CD and DA in order.
- Draw AB, BC, CD & DA. A cyclic quadrilateral ABCD is obtained.
- Make a replica of cyclic quadrilateral ABCD using carbon paper.
- Cut the replica into 4 parts such that each part contains one angle .
- Draw a straight line on a paper.
- Place angle BAD and angle BCD adjacent to each other on the straight line.Write the observation.
- Place angle ABC and angle ADC adjacent to each other on the straight line . Write the observation.
- Produce AB to form a ray AE such that exterior angle CBE is formed.
- Make a replica of angle ADC and place it on angle CBE . Write the observation.
Developmental Questions (What discussion questions)
- How do you take radius ?
- What is the circumference ?
- What is a chord ?
- What is a quadrilateral ?
- Where are all four vertices of a quadrilateral located ?
- What part are we trying to cut and compare ?
- What can you infer ?
Evaluation (Questions for assessment of the child)
- Angle BAD and angle BCD, when placed adjacent to each other on a straight line, completely cover the straight angle.What does this mean ?
- Angle ABC and angle ADC, when placed adjacent to each other on a straight line, completely cover the straight angle.What can you conclude ?
- Compare angle ADC with angle CBE.
Question Corner
Name the two properties of cyclic quarilaterals.
Activity Keywords
- Geogebra
- Cyclic Quadrilateral