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From Karnataka Open Educational Resources
Theorems on cyclic quadrilaterals (view source)
Revision as of 04:15, 11 November 2019
, 04:15, 11 November 2019added Category:Quadrilaterals using HotCat
=== Objectives ===
#Both pairs of opposite angles of a cyclic quadrilateral are supplementary.
#When one side of a cyclic quadrilateral is produced, the exterior angle so formed is equal to the interior opposite angle.
==Estimated Time==
Converse theorems:
#Suppose a quadrilateral is such that the sum of two opposite angles is a straight angle, them the quadrilateral is cyclic.
#If the exterior angle of a quadrilateral is equal to the interior opposite angle, then the quadrilateral is cyclic.
===Estimated Time===
40 minutes
==Materials/ Resources needed==
=== Prerequisites/Instructions, prior preparations, if any ===
==Prerequisites/Instructions, if any==
Laptop, geogebra file, projector and a pointer
===Materials/ Resources needed===
#A cyclic quadrilateral and its properties.
#The linear pair and exterior angle theorem.
#The circle theorem (Angle at centre = double the angle at the circumference)
This geogebra file was done by ITfC-Edu-Team.
===Process (How to do the activity)===
*Process:
#The teacher can project the geogebra file and prove the theorems.
*Developmental Questions:
#How many angles does a cyclic quadrilateral have ?
#Name the opposite angles of it.
#Name the minor arc.
#Recall the angle -arc theorem.
#What is the total angle at the centre of a circle ?
#Name the angles at the centre of the circle.
#What is the sum of those two angles ?
#How can you show that
[[Category:Quadrilaterals]]
