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     Circles

     
    Proofs
     

     Tutorial Name

      Tutorial Description




     

     
     
    Tutorials
      
     

     Tutorial Name

      Tutorial Description

    Circles-1Definitions, circle, center, radius, chord, diameter, secant, tangent, etc. Common tangents. Tangent line to a circle theorem with examples. External tangent congruence theorem with examples.
    Circles-2More examples of external tangent congruence.  Arcs in circles, central angle, minor arc, major arc, semicircle, measure of an arc. Adjacent arcs, arc addition postulate.
    Circles-3
    Congruent circles, congruent circles theorem. Congruent arcs.  Congruent central angles theorem. Similar arcs, similar circles theorem.  Congruent corresponding chords theorem. Perpendicular chord bisector theorem and converse.  Examples using chords.
    Circles-4
    Equidistant chords theorem.  Inscribed angle, intercepted arc, subtended angle.  Measure of an inscribed angle theorem.  Inscribed angles of a circle theorem. (case 1: center on inscribed angle side)
    Circles-5
    Proof:  Measure of an inscribed angle theorem (case 2: center inside inscribed angle), (case 3: center outside inscribed angle). Using the measure of an inscribed angle theorem.
    Circles-6
    Inscribed Polygon, inscribed right triangle theorem, inscribed quadrilateral theorem with examples.
    Circles-7
    Tangent and intersected chord theorem with examples.
    Circles-8
    Angles inside a circle theorem with examples.  Angles outside a circle theorem (two tangent case)
    Circles-9
    Angles outside a circle theorem (secant tangent case) and (two secant case) with examples.
    Circles-10
    Circumscribed angle, circumscribed angles theorem. Using circumscribed angles theorem.
    Circles-11
    Segments of chords theorem with examples. Tangent segment, secant segment, external segment. Segments of secants theorem.
    Circles-12
    Segments of secants and tangents theorem with examples.  
    Circles-13
    Equations of circles with examples.
      
    Chapter 10 Review 1-16
    Worked out solutions for chapter 10 review problems 1-16.
    Chapter 10 Review 17-24Worked out solutions for chapter 10 review problems 17-24
    Chapter 10 Review 25-33
    Worked out solutions for chapter 10 review problems 25-33
    Chapter 10 Review 34-45
    Worked out solutions for chapter 10 review problems 34-45
    Chapter 10 Review 46-48
    Worked out solutions for chapter 10 review problems 46-48