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Home » Circle

Mastering Circle Geometry
Tangents, Arcs, Chords

Discover circle geometry mastery—Sharpen your problem-solving techniques—Excel in tangents, arcs, inscribed angles, and more

Tangent

54 min 17 Examples

  • Introduction
  • Overview of what is a Circle, Radius, Chord, Diameter, Secant, and Tangent (Examples #1-5)
  • Overview of External and Internal Tangents and Concentric Circles (Examples #6-9)
  • Two Theorems(Examples #10-11)
  • Solve for x, in the given problems (Examples #12-14)
  • Find the perimeter of the triangle in the given problems (Example #15)
  • Find the indicated angle measure in the given problems (Example #16)
  • Find the indicated segment for the given problem (Example #17)

Arc

47 min 8 Examples

  • Introduction to Video: Arcs of Circles
  • Overview of Minor and Major Arcs and the Arc Addition Postulate
  • Find the measure of each arc (Examples #1-3)
  • Overview of Congruent Arcs (Examples #4-6)
  • Complete the two-column proof given arcs of a circle (Examples #7-8)

Chord

44 min 15 Examples

  • Introduction to Video: Chords
  • 5 Theorems and Definitions involving Chords of a Circle
  • Find the measure of the indicated chord or arc (Examples #1-6)
  • Find the measure of the indicated chord or arc (Examples #7-10)
  • Answer True or False given a statement about chords or arcs of circles (Examples #11-15)

Inscribed Angle

38 min 8 Examples

  • Introduction
  • Overview of the theorems and intercepted arcs (Examples #1-3)
  • Semicircles and the inscribed quadrilateral theorem (Examples #4-5)
  • Find the indicated measure given an inscribed angle, quadrilateral or semicircle (Examples #6-8)

Intersecting Secants Theorem

1 hr 4 min 15 Examples

  • Introduction to Video: Intersecting Secants
  • Overview of the four theorems for angle relationships in circles
  • Find the indicated angle or arc given two secants or tangent lines (Examples #1-5)
  • Solve for x given two secants, tangents or chords (Examples #6-11)
  • Find the measure of the arc or angle given secants and tangents (Examples #12-15)

Segment Lengths

46 min 10 Examples

  • Introduction to Video: Lengths of Intersecting Secants
  • Theorems for finding segment lengths in circles (Examples #1-4)
  • Find the indicated segment length (Examples #5-8)
  • Find the indicated segment length given secants and tangents (Examples #9-10)

Chapter Test

1 hr 14 min 28 Practice Problems

  • Identify aspects of a circle (Problems #1-7)
  • Find the measure of each segment given a circle (Problems #8-11)
  • Find the measure of each segment given a circle (Problems #12-13)
  • Find the degree measure for each arc or angle (Problem #14)
  • Find the degree measure for each arc or angle (Problems #15-19)
  • Find the degree measure for each angle or arc (Problems #20-24)
  • Solve for x given intersecting chords, secants or tangents (Problems #25-27)
  • Find the indicated angle, arc and segment length (Problem #28)
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