Rotation 270° about the origin: Each x value becomes opposite of what it was. Rotation 180° about the origin: Each x and y value becomes opposite of what it was. Rotation 90° about the origin: Each y-value becomes opposite of what it was. Reflection across the line y=x: The x and y values switch places. The effective description of molecular geometry is important for theoretical studies of intermolecular interactions. Reflection across the y-axis: Each y-value stays the same and each y-value becomes opposite of what it was. In this article, well practice the art of translating shapes. It is simply flipped over the line of reflection. To see how this works, try translating different shapes here: images/translate. To Translate a shape: Every point of the shape must move: the same distance in the same direction. without rotating, resizing or anything else, just moving. Under a reflection, the figure does not change size. In Geometry, 'Translation' simply means Moving. Remember that a reflection is simply a flip. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. ('Isometry' is another term for 'rigid transformation'.) Line Reflections. Reflection across the x-axis: Each x-value stays the same and each y-value becomes opposite of what it was. A quick review of transformations in the coordinate plane. The slide won’t change the shape or size of the figure, and with no rotation, the orientation won’t change either. In other words, a translation vector can be thought of as a slide with no rotating. Transformation Rules on the Coordinate Plane Translation: Each point moves a units in the x-direction and b units in the y-direction. A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. I can describe the effects of dilations, translations, rotations, and reflections on 2-D figures using coordinates.I can identify scale factor of the dilation.I can define dilations as a reduction or enlargement of a figure.More often, however, geometry is moved into its final position using geometric transformations on the object itself or on its underlying CoordinateSystem. Examples, solutions, worksheets, videos, and lessons to help Grade 8 students learn how to describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Certain geometry objects can be created by explicitly stating x, y, and z coordinates in three-dimensional space.