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On the Cartesian plane a relfection in a line produces a mirror image

On the Cartesian plane a translation moves every point on a shape the same distance and in the same direction

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Q: What is reflection and translation in math?
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What are the transformations in math?

translation, reflection, dilation


What is the difference between rules of translation and rules of reflection in math?

the difference is that in translation you slide the figure and in reflection you reflect the figure across the reflection line :)


Is a reflection and traslation in math the same?

No, a reflection is a flipped graph of the same object/function over a specified axis. A translation just moves it to a different coordinate, without flipping it.


Translation followed by a reflection in a line parallel to the translation vector?

Glide reflection


The composition of a translation and a reflection across a line parallel to the direction of translation?

Glide Reflection


What are the three transformations of math?

The 3 transformations of math are: translation, reflection and rotation. These are the well known ones. There is a fourth, dilation, in which the pre image is the same shape as the image, but the same size in the world


What is the definition of glide reflection?

A composite transformation which is a translation followed by a reflection in line parallel to the direction of translation


What is a reflection over a line called in math?

A reflection.


What are non-examples of reflection in math terms?

Well, darling, let me break it down for you. Non-examples of reflection in math terms would be things like rotation, translation, or dilation. Basically, anything that doesn't involve flipping an object over a line like a pancake on a Sunday morning. So, remember, reflection is all about mirroring, not spinning or shifting.


Is it a glide-reflection rotation reflection or translation?

A glide reflection is where you reflect the shape and translate it. A glide rotation is where you rotate a shape and translate it. A glide translation doesn't exist.


What is the composition of a translation and a reflection across a line parallel to the direction of translation?

When a translation is followed by a reflection across a line parallel to the direction of translation, the resulting transformation is a glide reflection. This transformation involves moving the shape in a specified direction (translation) and then flipping it over (reflection) across a parallel line. The combination results in the shape being both translated and reflected.


What are the four transformations of math?

The four transformations of math are translation (slide), reflection (flip), rotation (turn), and dilation (stretch or shrink). These transformations involve changing the position, orientation, size, or shape of a geometric figure while preserving its essential properties. They are fundamental concepts in geometry and can help in understanding the relationship between different figures.