![]() ![]() ![]() – Even after transforming a shape (translate, reflect or rotate), the angles and the lengths of the sides remain unaffected. The glide reflection of the blue image is the green image. ![]() Glide Reflection is when the final image which we get from reflection is translated.įor example: Reflect the given image along the black axis and then move it 6 units down. Translations are sometimes called slides. The vectors in this translation, connecting the pre-image to the image, are all. They need not have the same initial and terminal points. y f (x + 2) produces a horizontal shift to the left, because the +2 is the c value from our single equation. Any two vectors of the same length and parallel to each other are considered identical. The resulting figure after a transformation is called the of the original figure. A translation is a rigid transformation in which the location of the preimage is changed, but not its size, shape, or orientation. Vectors used in translations are what are known as 'free vectors', which are a set of parallel directed line segments. Dilation is when the size of an image is increased or decreased without changing its shape.įor example: For the given blue image the red image will be a dilated one.ĥ. is a transformation which each point of a figure the same and in the same. The flipped image is also called the mirror imageįor example: For the given picture with the mirror line, the blue image is one unit away from the mirror line, and the mirror image (red image) formed will also be a unit away from the mirror line.Ĥ. Reflection is when we flip the image along a line (the mirror line). Rotation is when we rotate the image by a certain degree.įor example: On rotation of the blue image by 90º, we get the red image.ģ. Also, moving the blue shape 7 units to the right, as shown by a black arrow, gives the transformed image shown in black.Ģ. There is also an interactive coordinate plane that demonstrates the process of. Translate x units to the left or the right or three units up or down. The given shape in blue is shifted 5 units down as shown by the red arrow, and the transformed image formed is shown in maroon. This webpage gives a simple, yet clear explanation of geometric translations. Hence the shape, size, and orientation remain the same. In this case, the rule is '5 to the right and 3 up.' You can also translate a pre-image to the left, down, or any combination of two of the four directions. Given a geometric figure (preimage) and the transformed figure (image), we can describe the translation. Translation happens when we move the image without changing anything in it. Math High school geometry Performing transformations Translations. Hence, a geometric transformation would mean to make some changes in any given geometric shape.īased on how we change a given image, there are five main transformations.ġ. ![]()
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