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Which transformations preserves the lengths of the sides of the figure?

rotation, translation, and reflection


What three transformations have isometry?

The three transformations that have isometry are translations, rotations, and reflections. Each of these transformations preserves the distances between points, meaning the shape and size of the figure remain unchanged. As a result, the original figure and its image after the transformation are congruent.


What transformations will produce a figure that is similar but not congruent to the original figure besides rotation?

Please don't write "the following" if you don't provide a list. We can't guess that list.


Which composition of transformations maps figure EFGH to figure EFGH?

The identity transformation.


Which of the transformations will produce a similar but not congruent figure?

A dilation would produce a similar figure.


What preserves a geometric figure's size and shape?

congruence transformation


Which transformations will produce a congruent figure?

A translation, a reflection and a rotation


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

rotationtranslationreflectionshifts (trig)


What type of transformations change the oriantation of a figure?

A rotation or a reflection.


Why under transformation a figure is always congruent to its image?

A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.


What is an operation that maps an original geometric figure onto a new figure?

A transformation: there are many different types of transformations.


WHICH OF THE FOLLWING IS NOT A CONGRUENCE TRANSFORMATION?

A congruence transformation, or isometry, is a transformation that preserves distances and angles, such as translations, rotations, and reflections. Among common transformations, dilation (scaling) is not a congruence transformation because it alters the size of the figure, thus changing the distances between points. Therefore, dilation is the correct answer to your question.