Geometry Shapes and Patterns Exploration Name: Date: Class: Period: Overview In this fun and interactive worksheet, you will explore and experiment with geometric shapes and their patterns. Engage your creativity and analytical skills as we delve into symmetry, transformations, and tessellations. Let's make geometry colorful and intriguing! Part 1 - Symmetry Search 1. Identify the lines of symmetry for each of the following shapes and draw them: a. Equilateral Triangle b. Rectangle c. Circle Remember, a line of symmetry divides a shape into two identical parts. Part 2 - Transformations Twirl 2. Perform the following transformations on the given coordinates of a triangle with vertices A(2,3), B(4,5), and C(1,7): a. Translate the triangle by (3, -2). b. Reflect the triangle over the x-axis. c. Rotate the triangle 90 degrees clockwise around the origin. Write down the new coordinates after each transformation. Use graph paper if necessary to achieve accurate results. Part 3 - Tessellation Creation 3. Create your own tessellation pattern by repeating a simple geometric shape. Describe your process and how you ensured the pattern would cover a plane without gaps or overlaps. Blank Graph A tessellation is a way of covering a plane with shapes without any gaps or overlaps. Triangles, squares, and hexagons tessellate naturally! Conclusion Reflect on how these activities showcase the beauty and complexity of geometry. Understanding patterns and shapes helps us in numerous aspects of life, from art to everyday
