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Line 54: − + − {| 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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> − |} − *Estimated Time:20 minutes − *Materials/ Resources needed:Laptop, Geogebra file, projector and a pointer. − *Prerequisites/Instructions, if any: − # Basic concepts of a circle and its related terms should have been covered. − *Multimedia resources: Laptop. − *Website interactives/ links/ / Geogebra Applets: − This geogebra has been created by ITfc-Edu-team. − <ggb_applet width="1280" height="572" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> − *Process: − # Show the children the geogebra file and ask the listed questions below. − *Developmental Questions: − # What is a chord ? − # At how many points on the circumference does the chord touch a circle . − # What is a bisector ? − − # In each case the perpendicular bisector passes through which point ? − *Evaluation − # What is the angle formed at the point of intersection of chord and radius ? − # Are the students able to understand what a perpendicular bisector is ? − # Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle . − *Question Corner: − # What do you infer ? − # How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle. − − ===Activity No # 2.[Theorem 2.Congruent chords are equidistant from the center of a circle.] === − {| 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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> − |} − *Estimated Time :40 minutes. − *Materials/ Resources needed:Laptop, geogebra,projector and a pointer. − *Prerequisites/Instructions, if any − # Basics of circles and its related terms should have been done. − *Multimedia resources: Laptop, geogebra file, projector and a pointer. − *Website interactives/ links/ / Geogebra Applets : This geogebra file has been created by Tharanath Achar of Dakshina kannada. − <ggb_applet width="1280" height="600" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> − *Process: − # Show geogebra file and ask the questions below. − *Developmental Questions: − # What is a chord ? − # Name the centre of the circle. − # How do you draw congruent chords in a circle ? − # How many chords do you see in the figure ? Name them. − # If both the chords are congruent, what can you say about the length of both the chords ? − # How can we measure the length of the chord ? − # What is the procedure to draw perpendicular bisector ? − # What does theorem 1 say ? Do you all remember ? − # What is the length of both chords here ? − # What can you conclude ? − # Repeat this for circles of different radii and for different lengths of congruent chords. − *Evaluation: − # Were the students able to comprehend the drawing of congruent chords in a circle ? − # Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy. − # Are the students able to understand that this theorem can be very useful in solving problems related to circles and triangles ? − *Question Corner: − # What is a chord ? − # What are congruent chords ? − # Why do you think congruent chords are always equal for a circle of given radius ?
The longest chord passes through the centre of the circle (view source)
Revision as of 19:49, 9 July 2014
, 19:49, 9 July 2014no edit summary
* If two chords in a circle are congruent, then they determine two central angles that are congruent.
* If two chords in a circle are congruent, then they determine two central angles that are congruent.
===Activity No 1[Theorem 1: Perpendicular bisector of a chord passes through the center of a circle.] ===
===Activities===
#Activity No 1 - [Theorem 1: Perpendicular bisector of a chord passes through the center of a circle.] ===
#Activity No 2 - Theorem 2.Congruent chords are equidistant from the center of a circle
# What is a perpendicular bisector ?
===Activity No # ===
===Activity No # ===