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Angle Properties - Circle Geometry (Second proof of angle at the centre/circumference)
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Classroom Contents
Circle Geometry
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- 1 Finding the Centre of a Circle Passing Through 3 Points
- 2 Tangent & Radius are Perpendicular (Demonstration Through Secants)
- 3 Components of a Circle
- 4 Angle Properties in a Circle
- 5 Cyclic Quadrilateral Properties
- 6 Angle in the Alternate Segment Theorem
- 7 Circle Geometry Question (Using Theorem Converses)
- 8 HSC Wk6 Quiz Overview (Solving A Harder Circle Geometry Question)
- 9 HSC Circle Geometry Question (1 of 3: Similar Triangles)
- 10 HSC Circle Geometry Question (2 of 3: Intermediate Length)
- 11 HSC Circle Geometry Question (3 of 3: Finding Radius)
- 12 Chord Properties (Circle Geometry)
- 13 Components of a Circle
- 14 Angle Properties - Circle Geometry (Angle at the centre/circumference)
- 15 Angle Properties - Circle Geometry (Angle in a semicircle)
- 16 Angle Properties - Circle Geometry (Second proof of angle at the centre/circumference)
- 17 Angle Properties - Circle Geometry (Angles in the same segment)
- 18 Tangent Properties - Circle Geometry (Tangent is perpendicular to radius)
- 19 Tangent Properties - Circle Geometry (Tangents from an external point are equal)
- 20 Angle in the Alternate Segment - Circle Geometry (1 of 3: Setup)
- 21 Angle in the Alternate Segment - Circle Geometry (2 of 3: Proof)
- 22 Angle in the Alternate Segment - Circle Geometry (3 of 3: Conclusion and overall summary)
- 23 Intercept Properties - Circle Geometry (1 of 3: Intersecting chords)
- 24 Intercept Properties - Circle Geometry (2 of 3: Secants from a point)
- 25 Intercept Properties - Circle Geometry (3 of 3: Tangent & secant)
- 26 Tough Circle Geometry Question (1 of 3: Finding & using congruent triangles)
- 27 Tough Circle Geometry Question (2 of 3: Proving a given chord is a diameter)
- 28 Tough Circle Geometry Question (3 of 3: Using tangent properties)
- 29 Congruent Triangles in Circles (1 of 2: Equal chords)
- 30 Congruent Triangles in Circles (2 of 2: Chord bisector)
- 31 Opposite Angles in a Cyclic Quadrilateral (1 of 2: Introduction)
- 32 Opposite Angles in a Cyclic Quadrilateral (2 of 2: Completing the proof)
- 33 Tough Circle Geometry Question (1 of 2: Set up & initial arguments)
- 34 Tough Circle Geometry Question (2 of 2: Proving points collinear)
- 35 Equal Overlapping Circles Question (1 of 2: Identifying congruent triangles)
- 36 Equal Overlapping Circles Question (2 of 2: Finding equal lengths)
- 37 Tangents of Circles (1 of 4: What are they?)
- 38 Tangents of Circles (2 of 4: Tangent perpendicular to radius)
- 39 Tangents of Circles (3 of 4: Tangents from an external point)
- 40 Tangents of Circles (4 of 4: Angle in the alternate segment)
- 41 Proof: Centres & point of contact are collinear on touching circles
- 42 Circle Geometry Proof - Triangles & Tangents
- 43 Circle Geometry Proof (Touching circles with a second common tangent)
- 44 Circle Geometry Example Question (worked proof)
