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Exploring Translations in the Coordinate Plane

This lesson covers translations, transformations that move figures in the same direction by the same distance using vectors. Learn about vectors as ordered pairs, describing translations from one point to another. Practice graphing and applying translation rules.

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Exploring Translations in the Coordinate Plane

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  1. 9.2 : Translations I can draw translations in the coordinate plane. Agenda: Check Homework 9.2 Notes

  2. If the images to the right describe a translation, in your own words, define translation:

  3. Vocabulary! A transformation that moves a figure the same distance in the same direction. It maps each point to its image along a vector. The vector in which a translation maps each point to its image. Each segment joining a point and its image has the same length as the vector and is parallel to the vector. A vector expressed as an ordered pair, where a represents the horizontal change and b is the vertical change from the vector’s tip to its tail.

  4. Vocabulary!

  5. Example 1: a) Graph TUV with vertices T(–1, –4), U(6, 2), and V(5, –5) along the vector .

  6. Example 1: b) Graph pentagon PENTA with vertices P(1, 0), E(2, 2), N(4, 1), T(4, –1), and A(2, –2) along the vector .

  7. Example 2: The graph shows repeated translations that result in the animation of the raindrop. a) Describe the translation of the raindrop from position 2 to position 3 in function notation and in words.

  8. Example 2: The graph shows repeated translations that result in the animation of the raindrop. b) Describe the translation of the raindrop from position 3 to position 4 using a translation vector.

  9. Example 3: Given the rule, , describe in component form. Then transform the figure given the vector.

  10. You Try!

  11. You Try!

  12. Example 4: Use the translation (x, y) .

  13. https://www.youtube.com/watch?v=gBGW7JbGcI8

  14. Homework: pg. 635, #14 – 20 even, 23, 24

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