Transformations Maria Garcia

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;

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.

Example: Transformation

interactive reflected figure Click on the following link to view a transformed figure and learn more about transformations: https://www.mathsisfun.com/geometry/transformations.html

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

Example: Translation

interactive reflected figure Click on the following link to view a translated figure and learn more about translations http://www.mathsisfun.com/geometry/translation.html

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.

Example Reflection

interactive reflected figure Click on the following link to view a reflected figure and learn more about reflections: http://www.mathsisfun.com/geometry/reflection.html

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.

example Rotation

interactive reflected figure Click on the following link to view rotated figure and learn more about rotations: http://www.mathsisfun.com/geometry/rotation.html