Geometric Transformations and Symmetry Course Material 2 Learning Objectives 1. Identify and explain the different types of transformation 2. Demonstrate the process of geometric transformation 3. Create designs that involves the different types of transformation 4. Use symmetry in designing and modeling geometric figures that posses both mathematical and and artistic vakues Transformation There are several figures in geometry. You have encountered some of these shapes before. By definition, the transformation of these shapes is only considered if it does not change the shape and size. These are isometries. often called rigid motions or Translation Translation – image is moved or shifted without changing its form; Rotation Rotation – the image is rotated given a certain angular measure; Reflection Reflection – the new image formed is a mirror of the original; and Dilation Dilation – increase or decrease in size without changing its shape. Types of Transformation Translation Reflection Rotation Dilation 1. Translation – image is moved or shifted without changing its form; 2. Rotation – the image is rotated given a certain angular measure; 3. Reflection – the new image formed is a mirror of the original; and 4. Dilation – increase or decrease in size without changing its shape. Symmetry There are many things that in this world that are symmetrical. One definition of symmetry is that it is the quality of being made up of exactly similar parts facing each other or around an axis. In other words, when we cut the figure into two, each half is identical to one another. There are three types of Rosette Patterns - finite design; reflection and rotation symmetries, which will be discussed below. We have the rosette patterns, frieze patterns, and wallpaper patterns. Each of these symmetries follows a certain type of figure transformation. Frieze Patterns – one-directional; reflection and rotation; translation, and rnsglide reflection along one line Wall Patterns -two-directional; rotation, reflection, and glide reflection; translation in two linearly independent direction Rosette Patterns Frieze Patterns Wall Patterns Activity 4 Activity 5: Performance Task (2)_30 points ➢ Suppose you are to submit an artwork that will depict your feelings/ opinions for the current situation of today’s education setup, how would this artwork look like? ➢ You may use any application for the design. Paste your work in a Word document. Below the design, explain your work by following the given grading below. ➢ By pair References http://math.hws.edu/eck/js/symmetry/symmetry-info.html https://www.onlinemath4all.com/frieze-patterns-geometry.html https://mathstat.slu.edu/escher/index.php/Wallpaper_Patterns Wallpaper Free Resources Use these free and recolourable icons and illustrations in your Canva design.
