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From Karnataka Open Educational Resources
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Line 1: + − + − *Estimated Time 10 minutes+ − *Materials/ Resources needed: Laptop, geogebra file, projector and a pointer. − *Prerequisites/Instructions, if any − # Circle and quadrilaterals should have been introduced. − *Multimedia resources : Laptop − *Website interactives/ links/ / Geogebra Applets − <span> </span> − + − *Process:+ + + + + + + + + + + + + + + + − Developmental Questions:+ Line 24:
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added Category:Circles using HotCat
A quadrilateral ABCD is called cyclic if all four vertices of it lie on a circle.In a cyclic quadrilateral the sum of opposite interior angles is 180 degrees.If the sum of a pair of opposite angles of a quadrilateral is 180, the quadrilateral is cyclic.In a cyclic quadrilateral the exterior angle is equal to interior opposite angle.
===Activity#1 Cyclic quadrilateral ===
===Objectives===
Understanding cyclic quadrilaterals
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Relation between angles of a cyclic quadrilateral.
===Estimated Time===
10 minutes
===Prerequisites/Instructions, prior preparations, if any===
Circle and quadrilaterals should have been introduced.
===Materials/ Resources needed===
Digital : Laptop, geogebra file, projector and a pointer.
Geogebra file: [https://ggbm.at/jdxxnrmb Cyclic quadrilateral.ggb]
{{Geogebra|jdxxnrmb}}
===Process (How to do the activity)===
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# The teacher can recall the concept of a circle, quadrilateral, circumcircle.
# The teacher can recall the concept of a circle, quadrilateral, circumcircle.
# Can explain a cyclic quadrilateral and show the geogebra applet.
# Can explain a cyclic quadrilateral and show the geogebra applet.
# Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles.
# Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles.
* Developmental Questions:
# What two figures do you see in the figure ?
# What two figures do you see in the figure ?
# Name the vertices of the quadrilateral.
# Name the vertices of the quadrilateral.
*Question Corner
*Question Corner
# Can all quadrilaterals be cyclic ?
# Can all quadrilaterals be cyclic ?
# What are the necessary conditions for a quadrilateral to be cyclic ?
# What are the necessary conditions for a quadrilateral to be cyclic ? <span></span><span></span>
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[[Category:Circles]]
