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Learning Goal

Part of: Experiment with transformations in the plane4 of 5 cluster items

Define transformations formally

HSG.CO.A.4

**HSG.CO.A.4**: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

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HSG.CO.A.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

What you'll learn

  1. State the formal geometric definition of a translation in terms of direction, distance, and parallel line segments
  2. State the formal geometric definition of a reflection in terms of a line of reflection and perpendicular bisectors
  3. State the formal geometric definition of a rotation in terms of a center point, angle, and circular arcs
  4. Explain how each definition uses the precise geometric terms from HSG.CO.A.1 (angles, circles, perpendicular lines, parallel lines, line segments)
  5. Use formal definitions to verify whether a given mapping is or is not a specific type of transformation

Slides

Interactive presentations perfect for visual learners • Interactive presentation

Slide Video

Watch narrated slides play like a video lesson • Narrated slide playback

Exercises

Practice problems to build fluency and understanding • 1 exercises