Remember that this type of transformation is a rigid transformation, meaning the line or shape is translated, the length, area and angles of the line and/or shape are unaffected by the transformation. Translations: When we take a shape, line, or point and we move it up, down, left, or right. Now that we know which types of transformations mainatin rigid motion, let’s explore each type of transformation in more detail! Translations: Rigid transformations include Translations, Reflections, and Rotations (but not Dilations). When a line or shape is transformed and the length, area and angles of the line and/or shape are unaffected by the transformation, it is considered to have Rigid Motion. 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?
![the rules of rotation in geometry the rules of rotation in geometry](https://image1.slideserve.com/2435915/slide17-l.jpg)
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!). The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x).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. Therefore, the algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x) Therefore, the coordinate of a point (3, -6) after rotating 90° anticlockwise and 270° clockwise is (-6, -3). Rotating 270° clockwise, (x, y) becomes (y, -x) Rotating 90° anticlockwise, (x, y) becomes (-y, x) Given, the coordinate of a point is (3, -6) What will be the coordinate of a point having coordinates (3,-6) after rotations as 90° anti-clockwise and 270° clockwise?
![the rules of rotation in geometry the rules of rotation in geometry](http://i.ytimg.com/vi/9dSnm6CSoSs/hqdefault.jpg)
Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees counterclockwise. The amount of rotation is called the angle of rotation and it is measured in degrees. The fixed point is called the center of rotation. What is the algebraic rule for a figure that is rotated 270° clockwise about the origin?Ī rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.