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GeoGebra

Translation (Gliding)

Author:Allan Canonigo

Your Task

In this activity, you will explore the concept of gliding transformation, also known as translation, in geometry. This involves moving a figure along a straight line without rotating, resizing, or changing its shape. The applet contains a shape (such as a triangle, square, or rectangle) on the plane, along with a vector indicating the direction and magnitude of translation. There is a slider provided to control how far the shape is translated along the vector.

Observe: As you move the slider, notice how the shape glides along the vector.

Does the shape change in size or orientation? What stays the same during the translation?

Adjust the Vector In the applet, adjust the direction of the vector by dragging its endpoint. Use the slider to see how the shape moves along the new direction of the vector.

  • How does changing the direction of the vector affect the position of the shape? How does the shape's position change when you move the slider along this new vector?

    • Move the slider to different positions to experiment with varying amounts of translation.

  • How does the position of the shape change as you adjust the slider's value? What happens when you move the slider to its maximum and minimum values? How does this affect the distance the shape moves along the vector?

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