Reflection symmetry geometry x axis
Triangle,( See Figure 3) does not posses rotational symmetry.īetween any point( or object) and its image. Rotational symmetry of order one is not considered. Since a rotation of 360 degrees about itsĬenter will map the figure back to itself. Itself under a rotation through some angle about the center. Rotational symmetry of a certain order if the plane figure maps on to That one half of the shape covers the other half exactly. The axis of symmetry of a plane figure is a line which can be used as a fold, so Translation symmetry if it can be translated and still look the Straight line without turning is called a translation. Of symmetry that a plane figure can have: It is perhaps one of the most recognizable It deal with the exact matching of a position or formĪbout a point, line or place. Therefore, the proofs of properties and conjectures are left as an exercise, Finally, GSP will provide useful conjectures, but will not provide a proof. The reader is however advised to to use GSP to explore the different transformations. This project does not include a problem set. There is a discussion of the use of matrices to build and use transformations which may help students to visualize animations used by the film industry for instance.
The purpose of this project is to : (a) Develop a set of reference material that may be used by high school teachers to discuss transformational geometry and symmetry and (b) To use technology to help students to visualize and solve problems involving transformation. Transformation Geometry and Symmetry for High School