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Circles

Proofs

 Tutorial Name Tutorial Description

Tutorials

 Tutorial Name Tutorial Description Circles-1 Definitions, 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-2 More 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 17-24 Worked 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