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Transformation - Rotation, Reflection, Translation

Related Topics:
Common Core for Grade 8
Common Core for Mathematics
More Math Lessons for Grade 8

Examples, solutions, videos, and lessons to help Grade 8 students verify experimentally the properties of rotations, reflections, and translations.

A. Lines are taken to lines, and line segments to line segments of the same length.

B. Angles are taken to angles of the same measure.

C. Parallel lines are taken to parallel lines.

Common Core: 8.G.1

Suggested Learning Targets

  • I can define and identify rotations, reflections, and translations.
  • I can identify corresponding sides and corresponding angles of similar figures.
  • I can understand prime notation to describe an image after a translation, reflection, or rotation.
  • I can identify center of rotation.
  • I can identify direction and degree of rotation.
  • I can identify line of reflection.
  • I can use physical models, transparencies, or geometry software to verify the properties of rotations, reflections, and translations (i.e. Lines are taken to lines and line segments to line segments of the same length, angles are taken to angles of the same measure, parallel lines are taken to parallel lines).
The following table shows examples of Transformations: Translation, Reflection, Rotation, and Dilation. Scroll down the page for more examples and solutions.

Understanding Transformations

Understanding Transformations (8.G.1)
Translation: Sliding a shape up, down, left and/or right.
Reflection: Creating a mirror image on the other side of a line.
Rotation: Spinning a shape by a certain number of degrees around a point.
Dilation: Growing or shrinking a shape while keeping the angle measures the same.

Verify Properties of Transformations using Line Segments Translation with patty paper Triangle Translation Construction of a Triangle Translation using patty paper. Triangle Reflection
Construction of a Triangle Reflection using patty paper. Reflection using patty paper Performing a Rotation using Tracing Paper
This video shows show how to do a basic rotation using tracing paper. This rotation used (0,0) as the rotation point and rotated 90˚ clockwise. Perform a Rotation using Patty Paper
Anti-clockwise 110 degrees.

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