0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Rene
TaigaAdd your answer:
Earn +20 pts
Why are transformations called rigid transformations?
Transformations are called rigid because they do not change the size or shape of the object being transformed. In rigid transformations, distances between points remain the same before and after transformation, preserving the object's overall structure. This property is important in geometry and other fields where accurately transferring or repositioning objects is required.
What transformations are considered rigid?
Rigid transformations are those that do not change the shape or size of the object. They include translation (moving the object without rotating or resizing it), rotation (turning the object around a fixed point), and reflection (flipping the object over a line).
Which transformation or sequence of transformations can be used to show congruency?
To show congruency between two shapes, you can use a sequence of rigid transformations such as translations, reflections, rotations, or combinations of these transformations. By mapping one shape onto the other through these transformations, you can demonstrate that the corresponding sides and angles of the two shapes are congruent.
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 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.
