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Geometry · G-CO

Coordinate Rules for Transformations

Translation (x+a, y+b); reflection over x-axis (x, −y); reflection over y-axis (−x, y); 90° rotation (−y, x).

GeometryCommon Core HSG-CO.A.5G-COVerified correct ✓

Worked examples

Translate the point (-1, -2) by (+5, +1). What is the y-coordinate of the image?
Answer: -1
Rotate the point (-5, 3) by 90° counterclockwise about the origin. What is the y-coordinate of the image?
Answer: -5

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Translations, Reflections, and RotationsCongruent Figures via Transformations

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