Difference between revisions of "Cyclic quadrilateral"

Latest revision as of 11:01, 31 October 2019

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.

Objectives

Understanding cyclic quadrilaterals

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: Cyclic quadrilateral.ggb

Download this geogebra file from this link.

Process (How to do the activity)

The teacher can recall the concept of a circle, quadrilateral, circumcircle.
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.

Developmental Questions:

What two figures do you see in the figure ?
Name the vertices of the quadrilateral.
Where are all the 4 vertices situated ?
Name the opposite interior angles of the quadrilateral.
What do you observe about them.

Evaluation:

Compare the cyclic quadrilateral to circumcircle.

Question Corner

Can all quadrilaterals be cyclic ?
What are the necessary conditions for a quadrilateral to be cyclic ?

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+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.
-<!-- This portal was created using subst:box portal skeleton  -->
+===Objectives===
-<!--        BANNER ACROSS TOP OF PAGE        -->
+Understanding cyclic quadrilaterals
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-__FORCETOC__
-===Activity#1 Cyclic quadrilateral ===
-*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>
-<span></span><div id="ggbContainer5061ec2b58633e074b0c05f395a3849d"></div><span></span>
+Relation between angles of a cyclic quadrilateral.
-*Process:
+===Estimated Time===
+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)===
+<span></span><span></span>
 # The teacher can recall the concept of a circle, quadrilateral, circumcircle.
 # 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.
- Developmental Questions:
+* Developmental Questions:
 # What two figures do you see in the figure ?
 # Name the vertices of the quadrilateral.
@@ Line 46: / Line 34: @@
 *Question Corner
 # 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>
-*
-<span> </span>
-<span></span><div id="ggbContainer7ac33d1e68b29e64169259c6189c0d53"></div><span></span>
-*
-''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''
-|}
+[[Category:Circles]]