Translating Shapes

Learn how to translate shapes on a grid using column vectors. Let’s get started! 🚀

Translating Shapes - introduction visual

Video Lesson

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Flashcards

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Column vectors with visual examples. Describes horizontal and vertical shifts using positive and negative values.Examples of vectors as ordered pairs, illustrating horizontal and vertical shifts on a grid with arrows and numerical values.Shape P is translated to shape Q on a grid by column vector (8, -3), with horizontal shift of 8 units and vertical shift of -3 units.Translation of triangle M to triangle N on a grid using column vector (-10, -4), with -10 units left and -4 units down.

🛎️ Translation: Sliding a Shape

  • A translation moves a shape without changing its size or orientation.
  • Every point shifts the same distance in the same direction.

🛎️ Column Vectors

  • The top number shows the horizontal movement, where positive is right and negative is left.
  • The bottom number shows the vertical movement, where positive is up and negative is down.

🛎️ Translating 2D Shapes

  • You move all vertices using the same column vector, then connect them.
  • The shape stays identical, just in a new position.

🛎️ Finding the Column Vector

  • Count how far a point moves left or right first.
  • Then count how far it moves up or down.

Practice Questions

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Interactive Activity

Translate shapes with column vectors on a grid

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