Frequent question: Which is the only rigid motion transformation that preserves orientation?

Does a rigid motion preserve orientation?

[edit] Rigid motions in the plane

translations, which have no fixed points, and are orientation-preserving; … reflections, which have a fixed line (the “mirror”), and are orientation-reversing.

What transformation does preserve orientation?

Rotation and translation preserve orientation, as objects’ pieces stay in the same order. Reflection does not preserve orientation.

Which of the following is a rigid motion preserve?

Rigid motions preserve collinearity. Reflections, rotations, and translations are all rigid motions. So, they all preserve distance, angle measure, betweenness, and collinearity.

What is the only rigid motion where orientation changes?

Rigid Motions change the position or orientation of an image or point, but it does not the size or the shape of it. Rotations, transformations, and reflections are all rigid motions.

What is the only rigid motion that does not preserve orientation?

Reflection does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.

Is rotation a rigid transformation?

The rigid transformations include rotations, translations, reflections, or their combination. … Any object will keep the same shape and size after a proper rigid transformation.

Which of the following does a rigid transformation also called a rigid motion preserve keep the same )?

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are “rigid transformations”.

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