![]() ![]() Whenever a transformation or a series of transformations results in a congruent image, we say that the preimage has undergone a congruence transformation.Īll translations apply rigid motion to the shape, moving the whole shape up, down, left, right, forward, or back. ![]() Rigid motion creates an image that is congruent to the preimage. Whenever the shape moves, but stays the same size, we say that it has gone through rigid motion. For example, if a shape is both rotated and moved to the right, then two transformations have been applied, so the shape has undergone a composition of transformations. Objective: To learn to identify, represent, and draw the translations of figures in the coordinate plane. That is, a reflection is a transformation that preserves both size and shape of a polygon or object. You can see the result of a flip or a reflection in a shape that has line symmetry, so line symmetry is related to the movement that is a reflection or a. If more than one transformation is applied to the preimage, we say that it has gone through a composition of transformations in order to produce the image. Reflections are congruence transformations. Thus the image of point P is P’ (“P prime”). In math, an apostrophe is read as “prime”. The image of a point is written with the same letter, followed by an apostrophe. This transformation can be any or the combination of operations like translation, rotation, reflection, and dilation. After the shape has moved, we call it the image. When we talk about transformations, we call the original shape the preimage. ![]() The shape now sits in a new position or orientation. The biggest difference is that transformations can also rotate the shape, as well as moving it up, down, left, and right. Both describe the ways we can move shapes or curves around a flat surface. A glide reflection is a composition of transformations.In a glide reflection, a translation is first performed on the figure, then it is reflected over a. In fact, translation is a type of transformation. In this section, students will be able to describe the effect of reflections on two dimensional figures using coordinates. A transformation in Geometry is much like a translation in Algebra. ![]()
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