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You are reading an older version of this FlexBook® textbook: CK-12 Geometry - Basic Go to the latest version.

12.7: Chapter 12 Review

Difficulty Level: At Grade Created by: CK-12

Keywords & Theorems

Exploring Symmetry

  • Line of Symmetry
  • Line Symmetry
  • Rotational Symmetry
  • Center of Rotation
  • Angle of Rotation


  • Transformation
  • Rigid Transformation
  • Translation


  • Reflection
  • Line of Reflection
  • Reflection over the y-axis
  • Reflection over the x-axis
  • Reflection over y = x
  • Reflection over y = -x


  • Rotation
  • Center of Rotation
  • Angle of Rotation
  • Rotation of 180^\circ
  • Rotation of 90^\circ
  • Rotation of 270^\circ

Compositions of Transformations

  • Composition (of transformations)
  • Glide Reflection
  • Reflections over Parallel Lines Theorem
  • Reflection over the Axes Theorem
  • Reflection over Intersecting Lines Theorem

Extension: Tessellating Polygons

  • Tessellation

Review Questions

Match the description with its rule.

  1. Reflection over the y-axis - A. (y, -x)
  2. Reflection over the x-axis - B. (-y, -x)
  3. Reflection over y = x - C. (-x, y)
  4. Reflection over y = -x - D. (-y, x)
  5. Rotation of 180^\circ - E. (x, -y)
  6. Rotation of 90^\circ - F. (y, x)
  7. Rotation of 270^\circ - G. (x, y)
  8. Rotation of 360^\circ - H. (-x, -y)

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/9697.

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