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Rigid motion

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What preserves a geometric figure's size and shape?

congruence transformation


What is the transformation called if it preserves the shape and size of an object?

The transformation that preserves the shape and size of an object is called a "rigid transformation" or "isometry." This type of transformation includes translations, rotations, and reflections, ensuring that distances and angles remain unchanged. Consequently, the object's overall geometry remains intact throughout the transformation process.


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 map preserves shape and what map preserves size?

A conformal map preserves shape, meaning angles are maintained. A equal-area map preserves size, meaning areas are accurately represented.


A triangle that is translated reflected or rotated and preserves its shape is said to be?

A Congruent Transformation.


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 type of map preserves shape and preserves size?

A conformal map is a type of map that preserves shape (angles) and a equal-area map preserves size (area). However, no single map projection can perfectly preserve both shape and size simultaneously across an entire map.


What is axial reflection?

Axial reflection is a type of transformation in geometry where a figure is reflected over an axis. The axis of reflection is a line that remains fixed while the rest of the figure is mirrored across it. This transformation preserves the size and shape of the figure.


What is the shape called where all the points all slide the same distance and direction?

The shape you're describing is called an "affine transformation." In geometric terms, when all points of a shape slide the same distance and direction, it is typically referred to as a "translation." This transformation preserves the shape and size of the object, maintaining its geometric properties while shifting its position in space.


What is the transformation in which the preimage and it image are congruent?

The transformation in which the preimage and its image are congruent is called a rigid transformation or isometry. This type of transformation preserves distances and angles, meaning that the shape and size of the figure remain unchanged. Common examples include translations, rotations, and reflections. As a result, the original figure and its transformed version are congruent.


Change in position shape or size of a figure?

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.