Difference between revisions of "Properties of cyclic quadrilateral"
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m (Preeta moved page Circles and lines activity 7 to Properties of cyclic quadrilateral without leaving a redirect) |
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| − | + | ===Objectives=== | |
| − | = | + | *In a cyclic quadrilateral the sum of opposite interior angles is 180 degrees. |
| + | *In a cyclic quadrilateral the exterior angle is equal to interior opposite angle | ||
| + | ===Estimated Time=== | ||
| + | 45 minutes | ||
| + | |||
| + | ===Prerequisites/Instructions, prior preparations, if any=== | ||
| + | * Circles and quadrilaterals should have been covered. | ||
| − | = | + | ===Materials/ Resources needed=== |
| − | |||
| − | ==Materials/ Resources needed== | ||
Coloured paper, pair if scissors, sketch pen, carbon paper, geometry box | Coloured paper, pair if scissors, sketch pen, carbon paper, geometry box | ||
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This activity has been taken from the website http://mykhmsmathclass.blogspot.in/2007/11/class-ix-activity-16.html | 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)== | + | |
| + | [[File:c.q.jpeg|300px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:C.q.jpeg]] | ||
| + | |||
| + | ===Process (How to do the activity)=== | ||
Note: Refer the above geogebra file to understand the below mentioned labelling.,br> | 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. | # Draw a circle of any radius on a coloured paper and cut it. | ||
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# Produce AB to form a ray AE such that exterior angle CBE is formed. | # 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. | # 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 ? | # How do you take radius ? | ||
# What is the circumference ? | # What is the circumference ? | ||
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# What part are we trying to cut and compare ? | # What part are we trying to cut and compare ? | ||
# What can you infer ? | # What can you infer ? | ||
| − | + | * '''Evaluation Questions''' | |
# 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 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 ? | # 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. | + | # Compare angle ADC with angle CBE. |
| − | + | # Name the two properties of cyclic quarilaterals. | |
| − | Name the two properties of cyclic quarilaterals. | + | __FORCETOC__ |
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Revision as of 12:11, 8 May 2019
Objectives
- In a cyclic quadrilateral the sum of opposite interior angles is 180 degrees.
- In a cyclic quadrilateral the exterior angle is equal to interior opposite angle
Estimated Time
45 minutes
Prerequisites/Instructions, prior preparations, if any
- Circles and quadrilaterals should have been covered.
Materials/ Resources needed
Coloured paper, pair if scissors, sketch pen, carbon paper, geometry box
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
- 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.
- Name the two properties of cyclic quarilaterals.