![]() ![]() In a dilation, a figure is enlarged or reduced, but its shape remains the same. Imagine making a photograph larger or smaller. The shape and size remain the same only the orientation changes. ![]() Have you ever spun a top or a dreidel? Then you’ve seen a transformation of rotation in action! In a rotation, a shape is turned around a fixed point, known as the center of rotation. ![]() The size and shape remain the same, but the orientation is reversed. In a reflection, a shape is flipped over a line (the “mirror”) to create a mirror image. That’s precisely what a transformation of reflection in geometry is like. When we transform these graphs, we can move them up or down (vertical shift), left or right (horizontal shift), or change their width (vertical or horizontal stretch or compression). Quadratic functions are those funky U-shaped graphs you might have seen in your algebra class. Transformation of Quadratic FunctionsĪ transformation in the context of a quadratic function changes the shape or position of the parabola. In mathematics, we express this using vectors, but don’t worry if that sounds complicated it’s just a fancy way of describing direction and distance. It’s still the same book it has just changed its location. In a transformation of translation, every point of the object must be moved in the same direction and for the same distance. Without these rules, transformation geometry would be like trying to play a game without knowing the rules-practically impossible! Transformation of Translation They relate to properties such as distance, angle, and orientation. These rules help determine the outcome of the transformation and allow us to predict what a shape will look like after it has been transformed. Just as every game has its rules, transformations in geometry also follow specific rules or guidelines. These transformations are like the essential verbs of transformation geometry, dictating how shapes interact and move within their environment. Dilation involves ‘resizing’ the figure, making it larger or smaller.Reflection is a ‘flip’ of the object over a line.Rotation involves ‘spinning’ the figure around a point. ![]()
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