congruence
Sign in to savewhen two figures or objects in geometry have the same shape and size, or if one has the same shape and size as the mirror image of the other
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Congruence in geometry means that two figures have exactly the same shape and size, or that one figure matches the mirror image of the other. This concept matters because it allows mathematicians and engineers to identify which shapes are equivalent and can be used interchangeably in designs, proofs, and practical applications.
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The two triangles on the left are congruent. The third is similar to them. The last triangle is neither congruent nor similar to any of the others. Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles. The unchanged properties are called invariants.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.