1. Transformations
Maria Garcia

2. Teks
(6)  Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties.
The student is expected to:
(C)  create two-dimensional figures, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons;
(D)  identify two-dimensional shapes, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons and describe their attributes using formal geometric language;

3. Transformation
Transformation - An operation that maps or moves the points of a figure in a plane.
The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation.
Three types of transformations are translation, reflection, and rotation.
A transformation can include a turn, flip, slide, or resize.

4. Example:
Transformation

5. interactive reflected figure
Click on the following link to view a transformed figure and learn more about transformations:

6. Translation
A translation (notation ) is a transformation of the plane that slides every point of a figure the same distance in the same direction.

7. Example:
Translation

8. interactive reflected figure
Click on the following link to view a translated figure and learn more about translations

9. Reflection
A transformation in which a geometric figure is reflected across a line, creating a mirror image. That line is called the axis of reflection.

10. Example
Reflection

11. interactive reflected figure
Click on the following link to view a reflected figure and learn more about reflections:

12. Rotation
A transformation in which a plane figure turns around a fixed center point. In other words, one point on the plane, the center of rotation, is fixed and everything else on the plane rotates about that point by a given angle.

13. example
Rotation

14. interactive reflected figure
Click on the following link to view rotated figure and learn more about rotations: