Geometric transformations involve changing the position, size, or orientation of a shape. The main types are translation (sliding), rotation (turning), reflection (flipping), and dilation (scaling). Understanding these transformations is crucial for analyzing and manipulating geometric figures. This practice will help you master these concepts!
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Translation | A. A transformation that flips a figure over a line. |
| 2. Rotation | B. A transformation that enlarges or reduces a figure. |
| 3. Reflection | C. A transformation that slides a figure. |
| 4. Dilation | D. A transformation that turns a figure about a point. |
| 5. Isometry | E. A transformation that preserves distance. |
Complete the following paragraph using the words: image, pre-image, congruent, orientation, scale factor.
In a geometric transformation, the original figure is called the _____, and the new figure is called the _____. If the transformation is an isometry, the pre-image and image are _____. A reflection changes the _____ of the figure. In a dilation, the size of the figure changes by a _____, but the shape remains the same.
Explain, in your own words, how a combination of transformations can be used to map any triangle onto another triangle of the same size and shape.
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