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Cyclic Quadrilaterals (view source)
Revision as of 03:30, 18 February 2022
, 03:30, 18 February 2022→Process (How to do the activity)
=== Objectives ===
=== Objectives ===
Understanding about cyclic Quadrilaterals
Being able to deduce that a quadrilateral is cyclic if and only if its opposite angles are supplementary
=== Estimated Time ===
=== Estimated Time ===
30 minutes
=== Prerequisites/Instructions, prior preparations, if any ===
=== Prerequisites/Instructions, prior preparations, if any ===
knowledge about vertices, segments, angles, circles, quadrilaterals and its types, supplementary angles
=== Materials/ Resources needed ===
=== Materials/ Resources needed ===
Click here to [[:File:Cyclic Quadrilaterals.ggb|open]] the file
Non-digital :paper, pencil, compass, ruler, protractor
=== Process (How to do the activity) ===
=== Process (How to do the activity) ===
{{Geogebra|aujr8556}}
'''Procedure''':
# Draw a circle with centre O.
# Take any four points A, B, C, D on the circumference of the circles.
# Join AB, BC, CD, DA on the circles
# Identify the quadrilateral on the circle
# What you called for this type of quadrilaterals?
# What is cyclic quadrilaterals?
# Identify and measure the angles in the cyclic quadrilaterals?
# Identify pair of opposite angles in cyclic quadrilaterals?
# What is the sum of opposite angles of a cyclic quadrilateral ?what is your conclusion?
{| class="wikitable"
| rowspan="2" |'''Sl no.'''
| rowspan="2" |'''Quadrilateral'''
| colspan="4" |'''Angles'''
| rowspan="2" |'''Pair of Opposite angles 1'''
| rowspan="2" |'''Pair of opposite angles 2'''
| rowspan="2" |'''Sum of opposite angles1'''
| rowspan="2" |'''Sum of opposite angles 2'''
| rowspan="2" |'''Conclusion'''
|-
|1
|2
|3
|4
|-
|1
|
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|
|
|
|
|
|
|
|
|}
=== Evaluation at the end of the activity ===
=== Evaluation at the end of the activity ===
# If one of the angles of a cyclic quadrilateral is 30°, then what will the value of its opposite angle ?
# Find the value of angle D of a cyclic quadrilateral, if angle B is 60°?
Go back to the page - [[KVS Quadrilaterals|click here]]
[[Category:Quadrilaterals]]