Lortz, Gregory  Math
 Aubrey High School
 TutorialsCircles

Circles
ProofsTutorial Name
Tutorial Description
TutorialsTutorial Name
Tutorial Description
Circles1 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. Circles2 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. Circles3 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. Circles4 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) Circles5 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. Circles6 Inscribed Polygon, inscribed right triangle theorem, inscribed quadrilateral theorem with examples. Circles7 Tangent and intersected chord theorem with examples. Circles8 Angles inside a circle theorem with examples. Angles outside a circle theorem (two tangent case) Circles9 Angles outside a circle theorem (secant tangent case) and (two secant case) with examples. Circles10 Circumscribed angle, circumscribed angles theorem. Using circumscribed angles theorem. Circles11 Segments of chords theorem with examples. Tangent segment, secant segment, external segment. Segments of secants theorem. Circles12 Segments of secants and tangents theorem with examples. Circles13 Equations of circles with examples. Chapter 10 Review 116 Worked out solutions for chapter 10 review problems 116. Chapter 10 Review 1724 Worked out solutions for chapter 10 review problems 1724 Chapter 10 Review 2533 Worked out solutions for chapter 10 review problems 2533 Chapter 10 Review 3445 Worked out solutions for chapter 10 review problems 3445 Chapter 10 Review 4648 Worked out solutions for chapter 10 review problems 4648