Ordered-set points can correspond to other ordered-set points {mapping, geometry}.
Figures can have same line segment lengths and angles {congruence}|.
Lines passing through corresponding points of a figure set can meet at a fixed point {center of homothety} {center of similitude} {similitude center} {ray center} {homothetic center} {radially related figures}. Corresponding-point distances from ray center have constant ratio {homothetic ratio} {ray ratio} {ratio of homothety} {ratio of similitude} {similitude ratio}.
Two configurations can coincide at point {intercept, geometry}.
Ordered set can map onto ordered set so element preceding or equaling a first-set element has image that precedes or equals image of a second-set element {monotonic mapping}. Monotonic mapping preserves order.
Figures can have constant ratio between corresponding line segments {similar figure}.
Corresponding-point pairs can have constant ratio between distances {similar surface}.
Similar figures can be radially related {similitude}.
Figures {superimposable figure} can be congruent.
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Date Modified: 2022.0225