Rigid motion
A Congruent Transformation.
transformation
no
A rigid transformation means it has the same size and shape so it would be a dilation
isometry
congruence 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.
A conformal map preserves shape, meaning angles are maintained. A equal-area map preserves size, meaning areas are accurately represented.
A Congruent 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.
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.
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.
transformation
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.
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.
no
True. An isometry is a transformation that preserves distances and angles, meaning that the preimage and image are congruent. Examples of isometries include translations, rotations, and reflections, all of which maintain the shape and size of geometric figures.