They can alter the location or orientation of the figures but do not affect their shape or size.
The official definition for topology is "the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures."
Two figures with the same size and shape called congruent.
Congruent figures are figures that have the same size and shape.
They are congruent. Figures that only have the same size or only have the same shape as each other are "similar".
Two congruent geometric figures have the same shape and the same size, whereas two similar geometric figures have the same shape but they differ in size.
They can alter the location or orientation of the figures but do not affect their shape or size.
Geometric shapes that are identical in size and shape are congruent.
the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures.
A conformal map preserves shape, meaning angles are maintained. A equal-area map preserves size, meaning areas are accurately represented.
The official definition for topology is "the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures."
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.
Rigid motion
Figures that have the same shape but not size are similar. Figures that have the same size are congruent.
Any two figures, polygonal or not, that are the same shape and size. Any two figures, polygonal or not, that are the same shape and size. Any two figures, polygonal or not, that are the same shape and size. Any two figures, polygonal or not, that are the same shape and size.
Similar means that the figures are the same shape yet not the same size. If the figures are the exact same size and shape, then they are congruent.
Figures that have the same size are congruent, and the ones that have the same shape are similar.