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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. |
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− | <!-- This portal was created using subst:box portal skeleton -->
| + | ===Objectives=== |
− | <!-- BANNER ACROSS TOP OF PAGE -->
| + | Understanding cyclic quadrilaterals |
− | {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
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− | |style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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− | While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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| | | |
− | = Concept Map =
| + | Relation between angles of a cyclic quadrilateral. |
− | __FORCETOC__
| |
− | <mm>[[Cyclic_quadrilateral.mm|flash]]</mm>
| |
| | | |
− | = Textbook = | + | ===Estimated Time=== |
− | To add textbook links, please follow these instructions to:
| + | 10 minutes |
− | ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
| |
| | | |
− | =Additional Information= | + | ===Prerequisites/Instructions, prior preparations, if any=== |
− | ==Useful websites== | + | Circle and quadrilaterals should have been introduced. |
− | ==Reference Books==
| |
| | | |
− | = Teaching Outlines = | + | ===Materials/ Resources needed=== |
| + | Digital : Laptop, geogebra file, projector and a pointer. |
| | | |
− | ==Concept # 1. Cyclic quadrilateral and its properties==
| + | Geogebra file: [https://ggbm.at/jdxxnrmb Cyclic quadrilateral.ggb] |
− | ===Learning objectives===
| + | |
− | # A quadrilateral ABCD is called cyclic if all of its four vertices lie on a circle.
| + | {{Geogebra|jdxxnrmb}} |
− | # 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.
| + | ===Process (How to do the activity)=== |
− | # In a cyclic quadrilateral the exterior angle is equal to interior opposite angle.
| + | <span></span><span></span> |
− | ===Notes for teachers=== | |
− | ===Activity#1 Cyclic quadrilateral ===
| |
− | *Estimated Time 10 minutes
| |
− | *Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
| |
− | *Prerequisites/Instructions, if any
| |
− | # The students should know a circle and its parts.
| |
− | # They should know that a quadrilateral is a 4 sided closed figure.
| |
− | *Multimedia resources : Laptop
| |
− | *Website interactives/ links/ / Geogebra Applets
| |
− | <ggb_applet width="1282" height="601" version="4.0" ggbBase64="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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> | |
− | *Process:
| |
| # 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:
| + | * 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. |
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| # Compare the cyclic quadrilateral to circumcircle. | | # Compare the cyclic quadrilateral to circumcircle. |
| *Question Corner | | *Question Corner |
− | # Name this special quadrilateral. | + | # Can all quadrilaterals be cyclic ? |
− | ===Activity No # 2.Properties of a Cyclic quadrilateral===
| + | # What are the necessary conditions for a quadrilateral to be cyclic ? <span></span><span></span> |
− | *Estimated Time: 45 minutes
| |
− | *Materials/ Resources needed
| |
− | coloured paper, pair of scissors, sketch pen, carbon paper, geometry box
| |
− | *Prerequisites/Instructions, if any
| |
− | # The students should know a circle and a quadrilateral.
| |
− | # They should know that 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
| |
− | *Multimedia resources
| |
− | *Website interactives/ links/ / Geogebra Applets
| |
− | This activity has been taken from the website http://mykhmsmathclass.blogspot.in/2007/11/class-ix-activity-16.html
| |
− | *Process:
| |
− | Note: Refer the above geogebra file to understand the below mentioned labelling.
| |
− | # Draw a circle of any radius on a coloured paper and cut it.
| |
− | # Paste the circle cut out on a rectangular sheet of paper.
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− | # By paper folding get chords AB, BC, CD and DA in order.
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− | # Draw AB, BC, CD & DA. A cyclic quadrilateral ABCD is obtained.
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− | # Make a replica of cyclic quadrilateral ABCD using carbon paper.
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− | # Cut the replica into 4 parts such that each part contains one angle .
| |
− | # Draw a straight line on a paper.
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− | # Place angle BAD and angle BCD adjacent to each other on the straight line.Write the observation.
| |
− | # Place angle ABC and angle ADC adjacent to each other on the straight line . Write the observation.
| |
− | # 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.
| |
− | Developmental Questions:
| |
− | # How do you take radius ?
| |
− | # What is the circumference ? | |
− | # What is a chord ?
| |
− | # What is a quadrilateral ?
| |
− | # Where are all four vertices of a quadrilateral located ?
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− | # What part are we trying to cut and compare ?
| |
− | # What can you infer ?
| |
− | *Evaluation:
| |
− | # Angle BAD and angle BCD, when placed adjacent to each other on a straight line, completely cover the straight angle.What does this mean ?
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− | # Angle ABC and angle ADC, when placed adjacent to each other on a straight line, completely cover the straight angle.What can you conclude ?
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− | # Compare angle ADC with angle CBE.
| |
− | *Question Corner:
| |
− | Name the two properties of cyclic quarilaterals.
| |
− | | |
− | ==Concept # 2.Construction of cyclic quadrilateral==
| |
− | ===Learning objectives===
| |
− | # Ability to construct a cyclic quadrilateral accurately .
| |
− | ===Notes for teachers===
| |
− | ===Activity No # ===
| |
− | {| style="height:10px; float:right; align:center;"
| |
− | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
| |
− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
| |
− | |}
| |
− | *Estimated Time: 40 minutes.
| |
− | *Materials/ Resources needed:
| |
− | # Laptop, geogebra file, projector and a pointer.
| |
− | # Students constructing materials, the geometry box.
| |
− | # white papers.
| |
− | *Prerequisites/Instructions, if any
| |
− | # The students should have sufficient knowledge regarding construction of perpendicular lines, bisectors, angles and circle.
| |
− | *Multimedia resources : Laptop
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− | *Website interactives/ links/ / Geogebra Applets: For step by step illustration of cyclic quadrilateral construction please refer to the website: http://www.matrusrieppower.net/Constructionoftriangleandcyclicquadrilateral.html.
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− | *Process:
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− | # The teacher can do this activity after introducing the concept and properties of cyclic quadrilateral.
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− | # She can project the file and let students watch it carefully.
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− | # After watching discuss the steps of construction and the purpose of each step so that the students can appreciate the sequence of construction steps.
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− | # Then ask the students to actually construct a cyclic quadrilateral for the given measures.
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− | *Developmental Questions:
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− | # What is a cyclic quadrilateral ? Why is it called so ?
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− | # Name the measuring parameters of it ?
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− | # What measures are given for its construction ?
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− | # Why was the 60 degree angle constructed ?
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− | # Explain the steps involved in determing the radius of the required circle ?
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− | # What do the measures of the arcs specify ?
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− | *Evaluation:
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− | # Were the students able to justify the sequence of steps involved ?
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− | *Question Corner:
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− | # Can you draw a circle first and then the quadrilateral ? Why not so ?
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− | | |
− | ===Activity No # ===
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− | {| style="height:10px; float:right; align:center;"
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− | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | | |
− | ==Concept # 3. Theorems on cyclic quadrilaterals==
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− | ===Learning objectives===
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− | ===Notes for teachers===
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− | ===Activity No ===
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− | {| style="height:10px; float:right; align:center;"
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− | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time :
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− | *Materials/ Resources needed:
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process:
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− | *Developmental Questions;
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− | *Evaluation
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− | *Question Corner
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− | | |
− | ===Activity No #===
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− | {| style="height:10px; float:right; align:center;"
| |
− | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
| |
− | |}
| |
− | *Estimated Time
| |
− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | | |
− | ===Activity No #===
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− | {| style="height:10px; float:right; align:center;"
| |
− | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
| |
− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
| |
− | *Estimated Time
| |
− | *Materials/ Resources needed
| |
− | *Prerequisites/Instructions, if any
| |
− | *Multimedia resources
| |
− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | | |
− | = Hints for difficult problems =
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− | | |
− | = Project Ideas =
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− | | |
− | = Math Fun =
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− | | |
− | '''Usage'''
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| | | |
− | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
| + | [[Category:Circles]] |