Difference between revisions of "Lines and Angles"
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[https://youtu.be/9kPEXwOurqc/ Session # 2] : Different ways of measuring and angle, a) Sexagesimal System, b) Circular Measure, c) Centesimal System | [https://youtu.be/9kPEXwOurqc/ Session # 2] : Different ways of measuring and angle, a) Sexagesimal System, b) Circular Measure, c) Centesimal System | ||
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| + | [https://youtu.be/iEZ3UEx1VbQ/ Session # 3] : Degrees, Minutes and Seconds, Concept of Negative Angle, Axioms related to Angles | ||
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| + | [https://youtu.be/E-pJtCEMKiw/ Session # 4] : Types of Angles: Acute, Right, Obtuse, Straight, Reflex and Complete Angles; Angles measuring more than 360 degrees. | ||
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| + | [https://youtu.be/7HpBWDXlins/ Session # 5] : Complementary Angles, Supplementary Angles and Angle Bisectors | ||
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| + | ==Solved Examples== | ||
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| + | [https://youtu.be/zfxSFSGHtH0/ Session # 6] : Solved Example # 01: Two Problems On Supplementary Angles | ||
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| + | [https://youtu.be/VLgNcDdjj7o/ Session # 7] : Solved Example # 02: Two Problems On Supplementary Angles | ||
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| + | ==Concept Lectures== | ||
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| + | [https://youtu.be/ijEJxCqQYqM/ Session # 8] : Angle Relations: Adjacent angles and Linear Pair | ||
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| + | [https://youtu.be/iChVqhCPJeE/ Session # 9] : Linear Pair Theorem: Sum of Angles forming a Linear Pair = 180º | ||
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| + | [https://youtu.be/Q9OVmvVkBIw/ Session # 10]: Converse of Linear Pair Theorem: If two adjacent angles sum up to 180º then the non-common arms are opposite to each other. | ||
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| + | [https://youtu.be/hhjJmLb8_lY/ Session # 11]: Sum of angles around a point is 360º | ||
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| + | ==Solved Examples== | ||
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| + | [https://youtu.be/51ecUi7y4bw/ Session # 12]: Solved Example # 03: On Linear Pairs | ||
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| + | [https://youtu.be/C7IhIiVC8zY/ Session # 13]: Solved Example # 04: On Linear Pairs | ||
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| + | [https://youtu.be/APnYHD6ReKc/ Session # 14]: Solved Example # 05: On Linear Pairs | ||
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| + | ==Concept Lectures== | ||
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| + | [https://youtu.be/GTpm499q1G8/ Session # 15]: Vertically Opposite Angles are equal | ||
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| + | ==Solved Examples== | ||
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| + | [https://youtu.be/CwGHVlQeqhk/ Session # 16]: Solved Example # 06: On Vertically Opposite Angles | ||
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| + | ==Concept Lectures== | ||
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| + | [https://youtu.be/3vmXx1JzbYI/ Session # 17]: Transversal intersecting two coplanar lines. Definitions of Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles and Adjacent Angles | ||
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| + | [https://youtu.be/vcNHi-KeNWo/ Session # 18]: Corresponding Angle Axiom: Corresponding angles of parallel lines intersected by a transversal are equal. | ||
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| + | [https://youtu.be/3_QIjYhoIzc/ Session # 19]: Alternate Interior Angles Theorem and Its Converse | ||
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| + | [https://youtu.be/lpq9Zx09Y5Y/ Session # 20]: Consecutive Interior Angles are supplementary | ||
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| + | [https://youtu.be/QqfEd-8tpmo/ Session # 21]: Bisectors of Alternate Interior Angles are Parallel | ||
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| + | [https://youtu.be/fYZ_kO-GEpQ/ Session # 22]: Bisectors of Corresponding Angles are Parallel | ||
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| + | [https://youtu.be/--_ikbS_ysk/ Session # 23]: A line perpendicular to one of two parallel lines is also perpendicular to the other line | ||
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| + | ==Solved Examples== | ||
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| + | [https://youtu.be/-kHgcNtr2i0/ Session # 24]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/QQ8JxiSlZsY/ Session # 25]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/-ijezOAUIcw/ Session # 26]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/H1p56YpiiNk/ Session # 27]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/oGsM5qMoL1A/ Session # 28]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/vLePMeBGJvs/ Session # 29]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/vygpaecUwDw/ Session # 30]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/2VynH7cfkP0/ Session # 31]: Solved Example on parallel lines, transversals and associated angles | ||
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| + | [https://youtu.be/eJo8s6XjlZk/ Session # 32]: Solved Example on parallel lines, transversals and associated angles | ||
Latest revision as of 00:30, 23 October 2019
Contents
Concept Lectures
Session # 1 : Introduction: Definition of Lines and Angles, Vertex and sides of an angle, Interior and Exterior of an Angle
Session # 2 : Different ways of measuring and angle, a) Sexagesimal System, b) Circular Measure, c) Centesimal System
Session # 3 : Degrees, Minutes and Seconds, Concept of Negative Angle, Axioms related to Angles
Session # 4 : Types of Angles: Acute, Right, Obtuse, Straight, Reflex and Complete Angles; Angles measuring more than 360 degrees.
Session # 5 : Complementary Angles, Supplementary Angles and Angle Bisectors
Solved Examples
Session # 6 : Solved Example # 01: Two Problems On Supplementary Angles
Session # 7 : Solved Example # 02: Two Problems On Supplementary Angles
Concept Lectures
Session # 8 : Angle Relations: Adjacent angles and Linear Pair
Session # 9 : Linear Pair Theorem: Sum of Angles forming a Linear Pair = 180º
Session # 10: Converse of Linear Pair Theorem: If two adjacent angles sum up to 180º then the non-common arms are opposite to each other.
Session # 11: Sum of angles around a point is 360º
Solved Examples
Session # 12: Solved Example # 03: On Linear Pairs
Session # 13: Solved Example # 04: On Linear Pairs
Session # 14: Solved Example # 05: On Linear Pairs
Concept Lectures
Session # 15: Vertically Opposite Angles are equal
Solved Examples
Session # 16: Solved Example # 06: On Vertically Opposite Angles
Concept Lectures
Session # 17: Transversal intersecting two coplanar lines. Definitions of Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles and Adjacent Angles
Session # 18: Corresponding Angle Axiom: Corresponding angles of parallel lines intersected by a transversal are equal.
Session # 19: Alternate Interior Angles Theorem and Its Converse
Session # 20: Consecutive Interior Angles are supplementary
Session # 21: Bisectors of Alternate Interior Angles are Parallel
Session # 22: Bisectors of Corresponding Angles are Parallel
Session # 23: A line perpendicular to one of two parallel lines is also perpendicular to the other line
Solved Examples
Session # 24: Solved Example on parallel lines, transversals and associated angles
Session # 25: Solved Example on parallel lines, transversals and associated angles
Session # 26: Solved Example on parallel lines, transversals and associated angles
Session # 27: Solved Example on parallel lines, transversals and associated angles
Session # 28: Solved Example on parallel lines, transversals and associated angles
Session # 29: Solved Example on parallel lines, transversals and associated angles
Session # 30: Solved Example on parallel lines, transversals and associated angles
Session # 31: Solved Example on parallel lines, transversals and associated angles
Session # 32: Solved Example on parallel lines, transversals and associated angles
