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Q: Do transformations preserve shape and size always?
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How transformations are different?

Transformations are different by their size but same shape the only thing that change is their coordinates and size.


Displacement and rotation of a geometerical figures?

These are examples of transformations of shapes which preserve their size.


What does congruence transformations mean?

These are transformations that do not change the shape or size, only its location (translation) or orientation (rotation).


What is a transformations that do not change the size or shape of a figure?

rotationtranslationreflectionshifts (trig)


How do translations reflections and rotations affect the size and shape of an image?

None of these transformations affect the size nor shape of the image.


What are transformations that result is an image that is the same shape and size as the original?

They are translation, reflection and rotation. An enlargement changes the size of the image.


How can rigid transformations be used to prove congruency?

Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.


Does translation preserve orientation shape or size?

All three are preserved.


What effects do rigid transformations have on geometric figures?

They can alter the location or orientation of the figures but do not affect their shape or size.


Why reflections translations and rotation are rigid motion s?

Reflections, translations, and rotations are considered rigid motions because they preserve the size and shape of the original figure. These transformations do not distort the object in any way, maintaining the distances between points and angles within the figure. As a result, the object's properties such as perimeter, area, and angles remain unchanged after undergoing these transformations.


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


Why are transformations called rigid transformations?

Transformations are called rigid because they do not change the size or shape of the object being transformed. In rigid transformations, distances between points remain the same before and after transformation, preserving the object's overall structure. This property is important in geometry and other fields where accurately transferring or repositioning objects is required.