tests whether the regions reg1 and reg2 are congruent.
Details and Options
- The regions reg1 and reg2 are congruent if reg2 can be obtained from reg1 by a combination of translations, rotations and reflections.
- Typically used to test whether two regions have the same shape and size or whether one has the same shape and size as the mirror image of the other.
- RegionCongruent[reg1,reg2] gives True if there is an affine transformation from reg1 to reg2 with matrix m satisfying .
Examplesopen allclose all
Special Regions (3)
RegionCongruent works in 1D:
RegionCongruent works in 2D:
RegionCongruent works in 3D:
Mesh Regions (3)
Properties & Relations (3)
RegionSimilar returns True for congruent regions:
Regions that are similar are not always congruent:
Two equal regions are congruent:
FindRegionTransform gives an affine transformation m of the form between two congruent regions:
Wolfram Research (2021), RegionCongruent, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionCongruent.html.
Wolfram Language. 2021. "RegionCongruent." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionCongruent.html.
Wolfram Language. (2021). RegionCongruent. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionCongruent.html