How does the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions?

Congruence triangles have the same size and shape
Rigid motion keeps the same distance between the points that are transformed
A rigid motion can be sliding,rotating, or flipping
SAS-2 corresponding sides+2 corresponding angles that are congruent.
hopefully this helps :3

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JeanaShupp JeanaShupp · Answer 2 · 2019-10-10T03:23:42-04:00

Answer with explanation:

A rigid motion is a transformation of a figure which does not change shape and the size of the original figure.

i.e. It preserves the side-length and measure of interior angles of a figure.

Thus , if we use rigid motions to transform a triangle then all the corresponding side-lengths and measure of interior angles of a figure remains exactly same.

That' how ,the criteria for triangle congruence (ASA, SAS, and SSS) directly follow from the definition of congruence in terms of rigid motions.