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From Karnataka Open Educational Resources
→Concept #3: Theorems and properties
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==== Non-OER[edit | edit source] ====
==== Non-OER[edit | edit source] ====
# Web resources
# Web resources
−##[http://www.mathsisfun.com/geometry/circle.html maths is fun]Here you get description of terms of circles
+#*[http://www.mathsisfun.com/geometry/circle.html maths is fun]Here you get description of terms of circles
−##[http://www.scribd.com/doc/11489830/Circles-Intresting-Facts Intersting facts] this web link is full of circle facts.
+#*[http://www.scribd.com/doc/11489830/Circles-Intresting-Facts Intersting facts] this web link is full of circle facts.
−##[http://www.sparknotes.com/math/geometry1/circles/section4.rhtml sparknotes] Gives some more details about properties of circles
+#*[http://www.sparknotes.com/math/geometry1/circles/section4.rhtml sparknotes] Gives some more details about properties of circles
+#*[http://www.regentsprep.org/Regents/math/geometry/GP14/PracCircleSegments.htm www.regentsprep.com] conatins good objective problems on chords and secants
+#*[http://www.mathwarehouse.com/geometry/circle/tangents-secants-arcs-angles.php www.mathwarehouse.com] contains good content on circles for different classes
+#*[http://staff.argyll.epsb.ca/jreed/math20p/circles/tangent.htm staff.argyll] contains good simulations
+#*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
+#*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 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.
# Books and journals
# Books and journals
# Textbooks
# Textbooks
+##[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter14.pdf Karnataka text book for Class 10, Chapter 14 - Chord 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)
#
#
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===== Activities =====
===== Activities =====
−====== [[Centre of a circle|'''Centre of a circle''']] ======
+====== [[Centre of a circle|Centre of a circle]] ======
[[Radius and diameter of a circle|'''Radius and diameter of a circle''']]
[[Radius and diameter of a circle|'''Radius and diameter of a circle''']]
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[[Congruent circles|'''Congruent circles''']]
[[Congruent circles|'''Congruent circles''']]
−==== Concept #3: Theorems and properties ====
+==== Concept #3: Circles and Lines ====
+===== Activities =====
+==== Concept #4: Theorems and properties ====
===== Activities =====
===== Activities =====
====== The longest chord passes through the centre of the circle ======
====== The longest chord passes through the centre of the circle ======
+
+==== Concept #5: Cyclic Quadrilateral ====
+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
+
+=====Activities=====
+
+====== [[Circles and lines activity 6|Cyclic quadrilateral]] ======
+
+====== [[Circles and lines activity 7|Properties of cyclic quadrilateral]] ======
+Concept #5 Constructions in circles
+
+The students should know that tangent is a straight line touching the circle at one and only point.They should understand that a tangent is perpendicular to the radius of the circle.The construction protocol of a tangent.Constructing a tangent to a point on the circle.Constructing tangents to a circle from external point at a given distance.A tangent that is common to two circles is called a common tangent.A common tangent with both centres on the same side of the tangent is called a direct common tangent.A common tangent with both centres on either side of the tangent is called a transverse common tangent.
+
+===== Activities =====
+
+====== [[Circles and lines activity 4|Construction of Direct common tangent]] ======
+
+====== [[Circles and lines activity 5|Construction of Transverse common tangent]] ======
=====[[Class10 circles tangents problems|Solved problems/ key questions (earlier was hints for problems).]]=====
=====[[Class10 circles tangents problems|Solved problems/ key questions (earlier was hints for problems).]]=====
