![]() ![]() ![]() Rigid Transformations:īefore we dive into our first type of transformation, let’s first define and explore what it means when a transformation maintains Rigid Motion. (4) Dilations (make it bigger or smaller) Shape Transformation:ġ) Translations – When we take a shape, line, or point and we move it up, down, left, or right.Ģ) Reflections – When a point, a line segment, or a shape is reflected over a line it creates a mirror image.ģ) Rotations – When we take a point, line, or shape and rotate it clockwise or counterclockwise, usually by 90º,180º, 270º, -90º, -180º, or -270º.Ĥ) Dilations – When we take a point, line, or shape and make it bigger or smaller, depending on the Scale Factor. The shape or line in question is usually graphed on a coordinate plane. Basically, when we have a shape or line and we mess around with it a bit, it is a transformation. Transformations: When we take a shape or line and we flip it, rotate it, slide it, or make it bigger or smaller. Let’s break down each of our new words before our brains explode: A translation is a type of transformation. Even the words “transformation “and “translation” can get confusing to us humans, as they sound very similar. Mathematical Transformations, include a wide range of “things.” And by “things” I mean reflections, translations, rotations, and dilations Each fall under the umbrella known as “transformations.” Alone any one of these is not difficult to master but mix them together and add a test and a quiz or two and it can get confusing. We’ll also take a look at where you might use and see transformations in your everyday life! Hope you are ready, take a look below and happy calculating! □ What is a Transformation in Math? If you like art or drawing, this is a great topic where we’ll have to use our artistic eye and our imagination for finding the right answer. There are also specific coordinate rules that apply to each type of transformation, but do not worry because each rule can also be easily derived (except for those tricky rotations, keep an eye out for those guys!). To form DEF from ABC, the scale factor would be 2.Hi everyone and welcome to another week of MathSux! In today’s post, we are going to go over all the different types of shape transformations in math that we’ll come across in Geometry! Specifically, we’ll see how to translate, reflect, rotate, or dilate a shape, a line, or a point. Assuming that ABC is twice the size of DEF, the scale factor to form ABC from DEF would be 0.5. The scale factor that would be used to form DEF from ABC is the reciprocal of the scale factor that would be used to form ABC from DEF. Each of the corresponding sides is proportional, so either triangle can be used to form the other by multiplying them by an appropriate scale factor. The triangles are not congruent, but are similar. In the above figure, triangle ABC or DEF can be dilated to form the other triangle. DilationĪ dilation increases or decreases the size of a geometric figure while keeping the relative proportions of the figure the same. A rotates to D, B rotates to E, and C rotates to F. RotationĪ rotation turns each point on the preimage a given angle measure around a fixed point or axis.Įach point on triangle ABC is rotated 45° counterclockwise around point R, the center of rotation, to form triangle DEF. ReflectionĪ reflection produces a mirror image of a geometric figure. TranslationĪ translation moves every point on the preimage the same distance in a given direction. In non-rigid transformations, the preimage and image are not congruent. Only position or orientation may change, so the preimage and image are congruent. Rigid transformations are transformations that preserve the shape and size of the geometric figure. Translation, reflection, and rotation are all rigid transformations, while dilation is a non-rigid transformation. Types of transformationsīelow are four common transformations. In a transformation, the original figure is called the preimage and the figure that is produced by the transformation is called the image. In geometry, a transformation moves or alters a geometric figure in some way (size, position, etc.). ![]() Home / geometry / transformation Transformation ![]()
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