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Translation

Learn about translations in the coordinate plane, where objects are moved by changing the x and y coordinates of every point by the same values. Understand how translations can be described using vectors and how to draw and summarize translations.

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Translation

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Presentation Transcript

  1. Translation

  2. Information

  3. Translation A translation is a transformation that moves all of the points in an object the same distance in a given direction. For example, we can translate △ABC 8 squares to the right and 4 squares up to get triangle △A′B′C′. Every point in the shape moves the same distance in the same direction. We can describe this translation using the vector . 8, 4 across up

  4. Translation in the coordinate plane Objects on a coordinate plane are translated by changing the x- and y- coordinates of every point by the same values. Translate △ABC with vertices A(1, –1), B(3, 4), and C(5, 2) by the vector . 6, 4 A′ (1 +6, –1 + 4) = (7, 3) B′ (3 +6, 4 + 4) = (9, 8) C′ (5 + 6, 2 + 4) = (11, 6)

  5. Drawing a translation

  6. Translations in the coordinate plane

  7. Summary

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