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From Karnataka Open Educational Resources
Properties of cyclic quadrilateral (view source)
Revision as of 06:41, 8 May 2019
, 06:41, 8 May 2019→Prerequisites/Instructions, if any
===Objectives===
=Activity - Name of Activity=
*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.
==Estimated Time==
===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
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.
# 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 ?
# 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.
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