In Geometry, I applied my understanding of transformations by designing a video game consisting of three levels. After creating the concept and layout for the game, I developed it into an animation to visually demonstrate how transformations are used in action.The objective of the game was to navigate through a maze and collect gold using the four types of geometric transformations: translations, rotations, reflections, and dilations. Each level required the player to apply these transformations strategically to progress and complete the challenges.Throughout the process, it was important to clearly understand and differentiate between each transformation:
-Translation involves shifting a shape left, right, up, or down without changing its orientation.
-Rotation turns the shape around a fixed point, typically by 90 or 180 degrees.
-Reflection flips the shape over the x-axis or y-axis, creating a mirror image.
-Dilation resizes the shape, either enlarging or shrinking it, while maintaining its proportions. Dilation is the only transformation that alters the size of the figure.
This project was both creative and educational, allowing me to connect abstract mathematical concepts with a real-world application in game design and animation.