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Unit 3 · Transformations

3.8Coordinate Rules for Transformations

Quick Answer

Summary of coordinate rules: Translation (a,b): (x,y)→(x+a,y+b). Reflection x-axis: (x,−y). y-axis: (−x,y). y=x: (y,x). Rotation 90° CCW: (−y,x). 180°: (−x,−y). 270° CCW: (y,−x).

Essential Question

How do we efficiently apply and remember all coordinate transformation rules to map figures on the coordinate plane?

Learning Goals

  • 1Apply all translation, reflection, and rotation coordinate rules.
  • 2Identify which rule applies given a transformation description.
  • 3Find the image coordinates of any point under a given transformation.
  • 4Determine the transformation given a pre-image and image.

Key Vocabulary

Coordinate rule summary

A consolidated reference of all transformation rules: translations, reflections over axes and y=x, and rotations about the origin.

Full lesson content coming soon

Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.