![]() ![]() 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. Lets start by talking about the reflections in parallel lines theorem. The final figure will be an equal distance from the line as the preimage but on the opposite side. These are the reflection in parallel lines theorem and the reflections in intersecting lines theorem, and they help us to identify congruence transformations. Identify and state rules describing reflections using notation Rules for Reflections. A reflection reverses the object’s orientation relative to the given line. Students will be going over the laws of exponents: power rule. We will now have a look at two important theorems on congruence transformations. 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. This is a great foldable for students because it has all of the information in one location. 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. For each of the figures points: - multiply the x-value by -1. 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. After the shape has moved, we call it the image. A reflection is a transformation that acts like a mirror: It swaps all pairs of points that are on exactly opposite sides of the line of reflection. Translations are transformations that slide, or translate, a figure over a. When we talk about transformations, we call the original shape the preimage. In the past, you investigated coordinate translations, reflections, and dilations. The shape now sits in a new position or orientation. How do you describe the properties of reflection and their effect on the congruence and orientation of figures Reflections keeps the size and shape, but not. 1 Verify experimentally the properties of rotations, reflections. The biggest difference is that transformations can also rotate the shape, as well as moving it up, down, left, and right. Name: Dseynobau Bah Date: 5helaz Unit 9: Transformations Per Homework 1: Translations. Both describe the ways we can move shapes or curves around a flat surface. In fact, translation is a type of transformation. A transformation in Geometry is much like a translation in Algebra. ![]()
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