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What describes a rigid motion transformation?
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
Are dilation rigid motion transformation?
No, dilation is not a rigid motion transformation. Rigid motion transformations, such as translations, rotations, and reflections, preserve distances and angles. In contrast, dilation changes the size of a figure while maintaining its shape, thus altering distances between points. Therefore, while the shape remains similar, the overall dimensions are not preserved.
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 the difference between rigid transformation and a size transformation?
A rigid transformation is when a shape is moved with no changes to its shape whereas a size transformation is when a shape is moved with its shape becoming smaller or larger.
What is a example of a rigid motion transformation?
A rigid motion transformation is a type of transformation that preserves distances and angles. An example of this is a rotation, where a shape is turned around a fixed point (the center of rotation) without altering its size or shape. For instance, rotating a triangle 90 degrees around its centroid keeps the triangle's dimensions the same while changing its position. Other examples include translations (sliding) and reflections (flipping).
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.
What describes a rigid motion transformation?
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
What transformation preserves the shape and size?
Rigid motion
Are dilation rigid motion transformation?
No, dilation is not a rigid motion transformation. Rigid motion transformations, such as translations, rotations, and reflections, preserve distances and angles. In contrast, dilation changes the size of a figure while maintaining its shape, thus altering distances between points. Therefore, while the shape remains similar, the overall dimensions are not preserved.
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.
Which transformation is not a rigid transformation?
A rigid transformation means it has the same size and shape so it would be a dilation
What is the difference between rigid transformation and a size transformation?
A rigid transformation is when a shape is moved with no changes to its shape whereas a size transformation is when a shape is moved with its shape becoming smaller or larger.
What is a example of a rigid motion transformation?
A rigid motion transformation is a type of transformation that preserves distances and angles. An example of this is a rotation, where a shape is turned around a fixed point (the center of rotation) without altering its size or shape. For instance, rotating a triangle 90 degrees around its centroid keeps the triangle's dimensions the same while changing its position. Other examples include translations (sliding) and reflections (flipping).
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.
What is the difference between rigid transformation and non rigid transformation?
rigid transformation is for same modality(CT-CT) nad it can only perform translation, rotation and scaling translation. whereas non rigid for multimodality and it can do streching and shriking too. it use demon algorithm .
