In geometry, a translation is like sliding a shape from one place to another! Imagine taking a cookie cutter and pressing it down, then sliding it across the dough without rotating or flipping it. The new cookie is a translation of the original. Translations are all about moving every point of a shape the same distance in the same direction. We use coordinates to describe how far to move a shape horizontally (left or right) and vertically (up or down). This activity will help you master shifting shapes!
Match the term to its correct definition. Drag the definitions to the corresponding terms.
| Term | Definition |
|---|---|
| Translation | A. A transformation that slides a figure without changing its size or orientation. |
| Pre-image | B. The original figure before a transformation. |
| Image | C. The new figure after a transformation. |
| Vector | D. A quantity with both direction and magnitude, representing the translation. |
| Coordinate Plane | E. A plane formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis). |
Complete the paragraph with the correct words.
A _________ is a transformation that moves every point of a figure the same distance in the same direction. We can describe a translation using a _________, which tells us how far to move horizontally and vertically. The original figure is called the _________, and the resulting figure is called the _________. Translations preserve the shape and size of the figure, meaning the pre-image and image are _________.
Possible words: congruent, vector, translation, pre-image, image
Explain in your own words how translations are used in real-world applications. Give at least two specific examples.
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