Translation - Definition A translation slides an object a fixed distance in a given direction. Both numbers tell us about how far and in what direction we are going to slide the point. Translation transformation is one of the four types of transformations in geometry. Note that PC=PC', for example, since they are the radii of the same circle.)Ī positive angle of rotation turns a figure counterclockwise (CCW),Īnd a negative angle of rotation turns the figure clockwise, (CW). In translation notation, the first number represents how many units in the x direction, the second number, how many in the y direction. In geometry, a translation moves a thing up and down or left and right. (The dashed arcs in the diagram below represent the circles, with center P, through each of the triangle's vertices. ![]() A rotation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.Īn object and its rotation are the same shape and size, but the figures may be positioned differently.ĭuring a rotation, every point is moved the exact same degree arc along the circleĭefined by the center of the rotation and the angle of rotation. In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a new shape (called the image). Rays drawn from the center of rotation to a point and its image form an angle called the angle of rotation. When working in the coordinate plane, the center of rotation should be stated, and not assumed to be at the origin. A rotation of θ degrees (notation R C,θ ) is a transformation which "turns" a figure about a fixed point, C, called the center of rotation.
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