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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.
Why is a dilation not a basic rigid motion?
A dilation is not a basic rigid motion because it alters the size of a figure while maintaining its shape, rather than preserving distances between points. Rigid motions, such as translations, rotations, and reflections, only change the position or orientation of a figure without affecting its dimensions. In contrast, dilations involve scaling, which can either enlarge or reduce a figure, thus not satisfying the criteria of preserving lengths and angles.
What transformation will produce a scalar effect on an object?
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 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)
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 type of transformation is not considered rigid?
Flexing is one such transformation.
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 transformation preserves the shape and size?
Rigid motion
What are not rigid motion transformations?
Dilation, shear, and rotation are not rigid motion transformations. Dilation involves changing the size of an object, shear involves stretching or skewing it, and rotation involves rotating it around a fixed point. Unlike rigid motions, these transformations may alter the shape or orientation of an object.
Which transformation is not an isometry?
Dilation.
Which transformation is not always an isometry?
Dilation
A transformation that results in a size change?
Dilation
A transformation in which a figure and its image are similar?
Dilation
This can be a reflection rotation translation or dilation?
Transformation
