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Movement of a shape can involve flexing - for example, a square frame being flexed into a rhombus. Rigid motion excludes such motion: the shape of the moving object does not change.

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What is a rigid motion?

A rigid motion is a transformation in geometry that preserves the shape and size of a figure. This means that distances between points and angles remain unchanged during the transformation. Common types of rigid motions include translations, rotations, and reflections. Since the original figure and its transformed image are congruent, rigid motions do not alter the overall structure of the figure.


What is rigid motion?

Rigid motion refers to a transformation of a geometric figure that preserves distances and angles, meaning the shape and size of the figure remain unchanged. Common types of rigid motions include translations (sliding), rotations (turning), and reflections (flipping). In essence, during a rigid motion, the pre-image and its image are congruent. This concept is fundamental in geometry, as it helps in understanding symmetries and maintaining the integrity of shapes during transformations.


Is not a rigid motion transformation?

dilation (APEX)


Does not describe a rigid motion transformation?

Stretch


What doesn't describe a rigid motion transformation?

A rigid motion transformation is one that preserves distances and angles between points in a geometric shape. Anything that involves changing the size or shape of the object, such as scaling or shearing, would not describe a rigid motion transformation.


Is there rigid motion when you flip a pancake?

Yes, flipping a pancake involves a rigid motion. When you flip it, the pancake rotates around an axis, but its shape, size, and orientation remain unchanged throughout the motion. This means that all points of the pancake maintain their relative positions to one another, characteristic of rigid motion.


Difference between rigid body and particle?

The key difference between a particle and a rigid body is that a particle can undergo only translational motion whereas a rigid body can undergo both translational and rotational motion


What is motion geometry?

Movement of a geometric figure that does not change the size or shape of that figure is known as motion geometry. trust me. this is right. I'm coolio. the rap artist.


What transformation preserves the shape and size?

Rigid motion


What are examples of rigid bodies that exhibit translational motion rotational motion and combination of both?

Planets


What is the relationship between a translation and a rigid motion?

A translation is a type of rigid motion, which means it preserves distances and angles between points. In a translation, every point in a figure moves the same distance and direction. Rigid motions also include rotations and reflections.


What has the author Edward Washington Suppiger written?

Edward Washington Suppiger has written: 'An analysis of the motion of a rigid body' -- subject(s): Dynamics, Rigid, Rigid Dynamics