Students will reflect a translated figure to create a glide reflection. How do we describe translations? Well we're going to use an arrow to show the original image going to our new image so if you just made one transformation you would write this as triangle abc maps onto triangle a prime, b prime, c prime and I've written that down below, so those little apostrophes actually mean prime. tns file to study the composition of isometric transformations. Therefore, we have to use translation rule and reflection rule to perform a glide reflection on a figure. The reason why dilations are not isometries is because you're changing the size of the shape, so these 2 are never going to be congruent when you have a dilation unless your scale factor is equal to 1. Glide Reflection Formula Glide reflection is a composition of translation and reflection.
Another way of saying this is to call it a rigid transformation not "regeed" but "rigid" transformation, so only 3 transformations are isometries, rotations I'm going to write an "I" are isometries translations are isometries and reflections. An isometry is a transformation where the original shape and new image are congruent. The next type is the translation or sliding it, so basically you're going to have a figure and you're going to slide it in some direction.Īnd the last type of transformation is reflection or flipping it so with a reflection you're going to need a line that you're reflecting, so notice here I reflected this triangle over this dotted line.Ĭertain transformations are more specifically described and we call those isometries. The second type, rotations, so you're going to start with a figure and then picking a point and an amount you're going to rotate that figure so you're not going to change its size or its shape. And dilation is taking a figure and either enlarging it or making it small and reducing it but you're going to keep the dimensions those ratios the same so you're going to create similar figures. Translation simply means moving, every point of the shape must move the same distance, and in. Therefore, Glide reflection is also known as trans-flection. First, a translation is performed on the figure, and then it is reflected over a line.
Transformations in Geometry basically what they are is changing an original size, shape or position of a figure to create a new image so you're going to start with something and you're going to change it in some way and end up with a new image. Definition: A glide reflection in math is a combination of transformations in 2-dimensional geometry.
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