congruence transformation
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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".