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9.8: Chapter 9 Review

Difficulty Level: At Grade Created by: CK-12

Keywords & Theorems

Parts of Circles & Tangent Lines

  • Circle
  • Center
  • Radius
  • Chord
  • Diameter
  • Secant
  • Tangent
  • Point of Tangency
  • Congruent Circles
  • Concentric Circles
  • Externally Tangent Circles
  • Internally Tangent Circles
  • Common Internal Tangent
  • Common External Tangent
  • Tangent to a Circle Theorem
  • Theorem 9-2

Properties of Arcs

  • Central Angle
  • Arc
  • Semicircle
  • Minor Arc
  • Major Arc
  • Congruent Arcs
  • Arc Addition Postulate

Properties of Chords

  • Theorem 9-3
  • Theorem 9-4
  • Theorem 9-5
  • Theorem 9-6

Inscribed Angles

  • Inscribed Angle
  • Intercepted Arc
  • Inscribed Angle Theorem
  • Theorem 9-8
  • Theorem 9-9
  • Inscribed Polygon
  • Theorem 9-10

Angles from Chords, Secants and Tangents

  • Theorem 9-11
  • Theorem 9-12
  • Theorem 9-13

Segments from Secants and Tangents

  • Theorem 9-14
  • Theorem 9-15
  • Theorem 9-16

Extension: Equations of Circles

  • Standard Equation of a Circle

Vocabulary

Match the description with the correct label.

  1. minor arc - A. \begin{align*}\overline{CD}\end{align*}CD¯¯¯¯¯¯¯¯
  2. chord - B. \begin{align*}\overline{AD}\end{align*}AD¯¯¯¯¯¯¯¯
  3. tangent line - C. \begin{align*}\overleftrightarrow{CB}\end{align*}CB
  4. central angle - D. \begin{align*}\overleftrightarrow{EF}\end{align*}EF
  5. secant - E. \begin{align*}A\end{align*}A
  6. radius - F. \begin{align*}D\end{align*}D
  7. inscribed angle - G. \begin{align*}\angle BAD\end{align*}BAD
  8. center - H. \begin{align*}\angle BCD\end{align*}BCD
  9. major arc - I. \begin{align*}\widehat{BD}\end{align*}
  10. point of tangency - J. \begin{align*}\widehat{BCD}\end{align*}

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9694.

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