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From Karnataka Open Educational Resources
→Introduction to chords
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#*This is a video showing construction of tangent from external point and theorem +
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#*This is a video showing construction of tangent at any point on a circle
#*This is a video showing construction of tangent at any point on a circle
−{{#widget:YouTube|id=LLKFqv71i0s|left}} : This is a resource file created by Suchetha, Mathematics teacher, GJC Thyamangondlu
+{{#widget:YouTube|id=LLKFqv71i0s|left}}
−{{#widget:YouTube|id=xvXaxx1u-iA|left}} : This is a resource file created by Suchetha, Mathematics teacher, GJC Thyamangondl
+This is a resource file created by Suchetha, Mathematics teacher, GJC Thyamangondlu
−*** you want see the kannada videos on theorems and construction of circle [http://karnatakaeducation.org.in/KOER/index.php/%E0%B3%A7%E0%B3%A6%E0%B2%A8%E0%B3%87_%E0%B2%A4%E0%B2%B0%E0%B2%97%E0%B2%A4%E0%B2%BF%E0%B2%AF_%E0%B2%B5%E0%B3%83%E0%B2%A4%E0%B3%8D%E0%B2%A4_-_%E0%B2%B8%E0%B3%8D%E0%B2%AA%E0%B2%B0%E0%B3%8D%E0%B2%B6%E0%B2%95%E0%B2%A6_%E0%B2%97%E0%B3%81%E0%B2%A3%E0%B2%B2%E0%B2%95%E0%B3%8D%E0%B2%B7%E0%B2%A3%E0%B2%97%E0%B2%B3%E0%B3%81 click here] this is shared by Yakub koyyur GHS Nada.
+*This is a video showing construction of tangent from external point and theorem
+{{#widget:YouTube|id=xvXaxx1u-iA|left}}
+This is a resource file created by Suchetha, Mathematics teacher, GJC Thyamangondl
+*This is a video showing Transverse common tangent
+{{#widget:YouTube|id=LA7afvv4u-A}}
+This is a resource file created by Gireesh KS , Assistant Teacher, GHS jalige, Bangalore Rural District
+** you want see the kannada videos on theorems and construction of circle [http://karnatakaeducation.org.in/KOER/index.php/%E0%B3%A7%E0%B3%A6%E0%B2%A8%E0%B3%87_%E0%B2%A4%E0%B2%B0%E0%B2%97%E0%B2%A4%E0%B2%BF%E0%B2%AF_%E0%B2%B5%E0%B3%83%E0%B2%A4%E0%B3%8D%E0%B2%A4_-_%E0%B2%B8%E0%B3%8D%E0%B2%AA%E0%B2%B0%E0%B3%8D%E0%B2%B6%E0%B2%95%E0%B2%A6_%E0%B2%97%E0%B3%81%E0%B2%A3%E0%B2%B2%E0%B2%95%E0%B3%8D%E0%B2%B7%E0%B2%A3%E0%B2%97%E0%B2%B3%E0%B3%81 click here] this is shared by Yakub koyyur GHS Nada.
# Books and journals
# Books and journals
# Textbooks
# Textbooks
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##[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter15.pdf Karnataka text book for Class 10, Chapter 15 - Tangent Properties]
##[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter15.pdf Karnataka text book for Class 10, Chapter 15 - Tangent Properties]
# Syllabus documents (CBSE, ICSE, IGCSE etc)
# Syllabus documents (CBSE, ICSE, IGCSE etc)
−== Learning Objectives ==
== Learning Objectives ==
* Appreciation of circle as an important shape as it is an intrical component in the invention of almost everything that we see around us.
* Appreciation of circle as an important shape as it is an intrical component in the invention of almost everything that we see around us.
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====== [[Introduction to chords]] ======
====== [[Introduction to chords]] ======
A chord is the interval joining two distinct points on a circle. This activity investigates formation of chord and compares with the diameter of the circle.
A chord is the interval joining two distinct points on a circle. This activity investigates formation of chord and compares with the diameter of the circle.
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+====== [[Activity1 Angles in the same segment are equal]] ======
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+====== [[Angle subtended by an arc]] ======
====== [[Secant and tangent of a circle]] ======
====== [[Secant and tangent of a circle]] ======
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The theorems that involve chords of a circle are :
The theorems that involve chords of a circle are :
−* Perpendicular bisector of a chord passes through the center of a circle.
+* Perpendicular bisector of a chord passes through the centre of a circle.
−* Congruent chords are equidistant from the center of a circle.
+* Congruent chords are equidistant from the centre of a circle.
* If two chords in a circle are congruent, then their intercepted arcs are congruent.
* If two chords in a circle are congruent, then their intercepted arcs are congruent.
* 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.
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====== [[Chord length and distance for centre of the circle]] ======
====== [[Chord length and distance for centre of the circle]] ======
−For a chord the distance from the center is the perpendicular distance of the chord such that it passes through the center.
+For a chord the distance from the centre is the perpendicular distance of the chord such that it passes through the centre.
====== [[The longest chord passes through the centre of the circle]] ======
====== [[The longest chord passes through the centre of the circle]] ======
Investigating the diameter is the longest chord of a circle.
Investigating the diameter is the longest chord of a circle.
−====== [[Perpendicular bisector of a chord passes through the center of a circle]] ======
+====== [[Perpendicular bisector of a chord passes through the center of a circle|Perpendicular bisector of a chord passes through the centre of a circle]] ======
Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.
Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.
−====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the center of a circle]] ======
+====== [[Perpendicular from centre bisect the chord]] ======
+====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the centre of a circle]] ======
In the same circle or in circles of equal radius:
In the same circle or in circles of equal radius:
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*Use the fact that a tangent line and the radius through that point of tangency are perpendicular to solve for a third value. Show how you can also use this fact to deduce whether or not a line is tangent to a specific circle.
*Use the fact that a tangent line and the radius through that point of tangency are perpendicular to solve for a third value. Show how you can also use this fact to deduce whether or not a line is tangent to a specific circle.
*Tangents from an external point are equal in length.
*Tangents from an external point are equal in length.
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+====== [[Tangents to a circle|Tangents to a circle -Activity]] ======
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+====== [[Construction of tanget to a circle and its properties]] ======
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==Types of tangents==
==Types of tangents==
*Recognise the difference between a secant and a tangent of a circle.
*Recognise the difference between a secant and a tangent of a circle.
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##Cone Construction http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.html
##Cone Construction http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.html
##Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.ggb
##Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.ggb
−====== Solved problems/ key questions (earlier was hints for problems). ======
+====== Solved problems/ key questions (earlier was hints for problems). ======
+===Projects (can include math lab/ science lab/ language lab) ===
===Projects (can include math lab/ science lab/ language lab) ===
#Collect different types of circular objects
#Collect different types of circular objects
