Translations: Vector Rules and Coordinate Shifts Exercise

Translations: Vector Rules and Coordinate Shifts

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Translations: Vector Rules and Coordinate Shifts

Practice applying vector rules and shifting coordinates to translate geometric figures on a plane.

Questions

  1. MultiChoice

    Which algebraic rule represents a translation of 5 units right and 3 units down?

  2. MultiChoice

    What translation is described by the rule (x, y) -> (x - 4, y + 2)?

  3. MultiChoice

    A figure is shifted 7 units left. What happens to the x-coordinate of each point?

  4. MultiChoice

    A figure is shifted 6 units up. Which coordinate changes and how?

  5. MultiChoice

    Which translation vector moves point (2, 4) to (2, -1)?

  6. MultiChoice

    The rule (x, y) -> (x + 1, y + 1) moves every point in which direction?

  7. MultiChoice

    If a translation rule is (x, y) -> (x - 2, y - 8), what is the direction of movement?

  8. MultiChoice

    Which transformation rule keeps the orientation and size of a shape unchanged?

  9. MultiChoice

    How does a translation affect the perimeter of a polygon?

  10. MultiChoice

    Under the translation (x, y) -> (x + 3, y), which axis direction is the movement along?

  11. MultiChoice

    What is the net shift of applying (x, y) -> (x + 2, y - 1) followed by (x, y) -> (x + 3, y - 4)?

  12. MultiChoice

    If a translation leaves a point at the exact same position, what is the translation vector?