Assertion: isometry | /r/HasProperty | transformation
Facets:
value: given a metric space
type: OTHER
value: loosely
type: MANNER
value: in simple words
type: OTHER
Source sentences:
text: Given a metric space (loosely, a set and a scheme for assigning distances between elements of the set), an isometry is a transformation which maps elements to the same or another metric space such that the distance between the image elements in the new metric space is equal to the distance between the elements in the original metric space.
text: An isometry is a transformation in which the original figure and its image are congruent.
text: An isometry is a transformation in which the original figure and its image are congruent.
text: Given a metric space, or a set and scheme for assigning distances between elements of the set, an isometry is a transformation which maps elements to another metric space such that the distance between the elements in the new metric space is equal to the distance between the elements in the original metric space.
text: Given a metric space (loosely, a set and a scheme for assigning distances between elements of the set), an isometry is a transformation which maps elements to the same or another metric space such that the distance between the image elements in the new metric space is equal to the distance between the elements in the original metric space.
text: An isometry is a transformation that preserves the relative distance between points.
text: An isometry is a function (or a transformation) such that preserves distance.
text: Isometry is a transformation that never changes shape or size.
text: A isometry is a transformation where distance (aka size) is preserved.
text: A isometry is a transformation where distance (aka size) is preserved.
text: A isometry is a transformation where distance (aka size) is preserved.
text: Isometry is a transformation with metric spaces that keeps the same shape.
text: A isometry is a transformation where distance (aka size) is preserved.
text: An isometry is a transformation which bends, rotates, or reflects a surface without actually distorting it.
text: An isometry is a transformation that preserves distances, such as a rotation, reflection, or translation of the plane.
text: Given a metric space, or a set and scheme for assigning distances between elements of the set, an isometry is a transformation which maps elements to another metric space such that the distance between the elements in the new metric space is equal to the distance between the elements in the original metric space.
text: In simple words, an isometry is a transformation in which distance is preserved.
text: In general, an isometry is a transformation that preserves distance.
text: An isometry is a transformation in which the distance between any two points is unchanged by the transformation.
text: Isometries are transformations the plane which don't distort shapes.