Transformations
Task
Construct a letter to perform different transformations. First reflect the letter about a line, then rotate it around a point and last translate it by a vector.
Explore the construction and discover different transformations with Geometry in GeoGebra Calculator Suite. Then try it yourself by following the instructions below.
Explore the construction...
Instructions
| 1. | 
| Create any letter using the Polygon tool. |
| 2. |  | Create a segment beside your polygon using the Segment tool. |
| 3. | 
| Select the Reflect about Line tool and reflect your letter by selecting the object and then the created segment. |
| 4. |  | Use the Move tool and move the points of the segment to explore your reflection. |
| 5. |  | Create a point underneath the reflected polygon using the Point tool. |
| 6. |  | Select the Rotate around Point tool and rotate your reflected letter by selecting the object and then the created point. Select clockwise in the appearing dialog. |
| 7. | | Use the Move tool and move the point to explore your rotation. |
Try it yourself...
Instructions (continued)
| 8. |  | Create a vector below the rotated polygon using the Vector tool. |
| 9. |  | Select the Translate by Vector tool and translate your rotated letter by selecting the object and then the created vector. |
| 10. | | Use the Move tool and move the points of the vector to explore your translation. |
| 11. | | Move any of your constructed points to explore the transformations. |